Pith. sign in

Paper Citation Record · LEDGER

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping

As of 11 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2501.01670.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.01670 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:35:42.895650Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:04:40.499651Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T15:04:40.858646Z

Reference resolution

56 of 56 outbound references displayed

  • verified exact2
  • verified fuzzy27
  • unresolved27
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 470d6652-98d4-4cce-b4f9-304dd806162c · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:44.241957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.539715Z digest=sha256:13ae73b40c73c3e4e150ca788811fdb4d3ebc13334219128247c03b46d980f68

Observation dc57f90e-a4d3-4af3-9eb6-0eb1f1c0751d · outbound

This paper cites D’Abbicco, The threshold of effective damping for semilinear wave equa tions, Math.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping D’Abbicco, The threshold of effective damping for semilinear wave equa tions, Math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:44.219824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.545739Z digest=sha256:43d075f742dc039ad889aec34818765cad4a77895a75f55502eb92edda3df8ca

Observation 76484156-2627-4dea-8602-113049ea477f · outbound

This paper cites Semilinear damped wave equations with data from Sobolev spaces of negative order: the critical case in Euclidean setting and in the Heisenberg space.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Semilinear damped wave equations with data from Sobolev spaces of negative order: the critical case in Euclidean setting and in the Heisenberg space

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-10T22:35:42.995288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.551595Z digest=sha256:f2f4a006d8bf494cc60548a37544ffd024055c14124e16b28ff797eece73d2b8

Observation 01abdcde-f4bd-449b-b4ac-8ec1901dda75 · outbound

This paper cites D’Abbicco, S.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping D’Abbicco, S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:44.195614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.557310Z digest=sha256:5e66acb4c84bd216dc34bb1910f7ad44b40a174eb9676fc4e66736217424673f

Observation 2d21f9d3-2bde-48e5-bf62-915a0d72edd9 · outbound

This paper cites D’Abbicco, S.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping D’Abbicco, S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:44.175250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.563356Z digest=sha256:1c4249507c3bc055b19b5058bb018da72447818308dff3e69558e3a91aaf5f7d

Observation b534f30a-ee5a-44c6-87c1-cadb77264e5c · outbound

This paper cites D’Abbicco, S.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping D’Abbicco, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:44.153281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.569637Z digest=sha256:1eb6e0e63f6f319aed893cf3f598cb28fd19839b911c53fe4f4b09bea252ed43

Observation d9a67bbd-475d-4413-9296-89047088167e · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:44.134131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.575123Z digest=sha256:ea6b51839c2f8bffde4eafcea9e739598a7dcef3af75eee8a4d1483d4c51422b

Observation 7cc506e6-f966-42a6-9c3e-8b9cc9f4591b · outbound

This paper cites Fujita, On the blowing up of solutions of the Cauchy Problem for ut = ∆ u + u1+α, J.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Fujita, On the blowing up of solutions of the Cauchy Problem for ut = ∆ u + u1+α, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:44.112565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.580995Z digest=sha256:56b642a8ced5a5ab6429dbfda957dde5ab66c15db132d8397661be42c743b322

Observation 3feef4c6-f0c2-48e6-8db7-e36ba0bf29b1 · outbound

This paper cites Fujiwara, M.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Fujiwara, M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:44.090737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.587066Z digest=sha256:5b702376d9fe54171e88cfa695f2e6265c89586dd2c7ece7e192db38b0c2e7c0

Observation 7200aef3-f883-44d3-97b8-6fe855afbf6d · outbound

This paper cites Galstian, Global existence for the one-dimensional second order semi linear hyperbolic equations, J.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Galstian, Global existence for the one-dimensional second order semi linear hyperbolic equations, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:44.073301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.593313Z digest=sha256:7906fdc4f4c7942c1cb82ec164b541dbe5f08bda7d21533ac4ee81ab89a13ce5

Observation b7027e2f-5b5f-4853-91ab-97a6c895c37c · outbound

This paper cites Georgiev, H.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Georgiev, H

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:44.056045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.601232Z digest=sha256:c06df3659f1208c60ed3326827f0df10fc51909760476cdb512c16eb517750d5

Observation 1470eeca-9d3c-457d-a905-246b0ca608bf · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:44.034197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.606719Z digest=sha256:951a86cf56ccb6ba1a589e03c5c7be6d4e2874b6baa7367006a5bf15c5842eb2

Observation 54cf761a-dc7d-4e0e-a078-12006706be3a · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:44.010678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.614181Z digest=sha256:68f9c264555650ca41f427fb36ea13b77571b97cd5bf329cc5319921547d11cd

Observation ffa340ef-2f6c-4571-b5b5-683559125e94 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.991906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.621288Z digest=sha256:e63b59fbb0f6fbcf197cb8991c0c325adfb63a53cf04540790c5e6a058e476cf

Observation 57a9fdcf-6b8f-45f4-8ed3-28f17b5a3c6d · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.972220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.630023Z digest=sha256:eb0d1a244685124586d4302068dacda63dfeabc9897800c81c1a6809e7e014a1

Observation ad50298e-8bcf-411b-b46a-0c44c62b0129 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.952145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.636516Z digest=sha256:e7b50c72b0602d41074bdb08db7658b9e5ce6aa550b9f6cec831156642a322a8

Observation cf9a19f9-696b-4b02-8259-e9817ed56006 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.926233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.641779Z digest=sha256:63a31cac081433931d0e4df78ce9857742de7af1520fd4273996fc529ffa4d07

Observation 6e31f824-a0df-4dfd-846a-00a2459ab2c3 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.905145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.647999Z digest=sha256:d95e9c2930471f9bea176835f062590b3372c4c82ea22cb8c687293a6abcdcde

Observation d0c41330-b7d5-41fc-b572-f7b041db752c · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.881753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.653879Z digest=sha256:d10758449bdf58e82f9b6eef2c0f3057232d7977d1cb66649ac9fb5a677e3537

Observation c6c5c253-2db1-400c-b691-fe474d8099e8 · outbound

This paper cites Ikeda, M.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Ikeda, M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.864632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.659254Z digest=sha256:f0643dba306d66d2a841854d2255941853dbebcc9cffd59b76dcdeef4f7768f3

Observation 2b4d25ed-93dc-4c67-9cab-eeb8ab6423fa · outbound

This paper cites John, Blow-up of solutions of nonlinear wave equations in three sp ace dimensions , Manuscripta Math.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping John, Blow-up of solutions of nonlinear wave equations in three sp ace dimensions , Manuscripta Math

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.847704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.664891Z digest=sha256:de2d89ca9285793118fcb9c71572823aa9abdb33c8342ddd17bacec2562ed909

Observation 4ef503d7-71d4-4160-819b-d7fe75dd86b1 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.828474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.670924Z digest=sha256:64e0f0206efaf2a8f27b0ea229f69ec46809aa1def9b9f254a13a50e87b99647

Observation c950e718-370d-43b3-a3dc-557f4707c28d · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.805554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.676373Z digest=sha256:a51c1fd5aca4beb08b2dde8c20da628543077c92bf254e7d871ae5e50b36902b

Observation a0c5de84-a9f5-41e1-8dc3-4b5e7150e884 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.783443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.682595Z digest=sha256:a09855b235862720e549fe56d47be6c0d37d2a1a9dadde70a8321ad575f84630

Observation c83e338e-1719-4c86-ab3f-5c1048c81820 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.763043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.688803Z digest=sha256:f4ddf99cf80ecd910f912c301ede3006e1408ed678c6f86528f3073003e41a5e

Observation b8fd3e12-7961-4147-bf46-e9b00a678e39 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.740145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.694892Z digest=sha256:8b539deac3773b3a0b32de4ddac4edec8f24ac791af2ca753470f2b5e304686c

Observation 0feed33a-3af5-4664-b2c2-e6725eb9cdca · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.717961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.701034Z digest=sha256:2e0d7f920509889d821185c9818d441317f9726975c01f602c7c2a2e8c1c4e0b

Observation 9f3c61d1-d920-406f-92b0-621228a99b64 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.694182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.707748Z digest=sha256:1d2a3e3d8f35d884783abb94983aa10063bf9bd7245791a45916444788af45a9

Observation a58c26dd-7661-4f67-b3ca-a2b921164b3b · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.663915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.714572Z digest=sha256:001ec0a46f182221eb01c19c6393ecdf5feb045af3f8bfb11161d4e049e88769

Observation 14f47df2-fa38-43db-aff9-b199ba7018ad · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.636481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.721237Z digest=sha256:32ccb17c4d0f755459341a716b311a57dacaa241289e12105ce52d13393b9090

Observation 9807a443-4337-4866-959b-569cd30f1a45 · outbound

This paper cites Lindblad, C.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Lindblad, C

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.615697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.727224Z digest=sha256:dc17d37bbb66c1fd5ca3d0d0db1dbe8eb5ec3b4972f4fc90711b681cc60ecb27

Observation ab61120c-0e63-4ceb-b2c6-e1c285e5f1ca · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.594359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.734028Z digest=sha256:3db71b65427345ed8db0ac1f7262d72badba6df9f0fe170141550864925f5127

Observation 35359f63-0ee9-4e5c-a66e-5200c4e3247f · outbound

This paper cites Nishihara, Asymptotic behavior of solutions to the semilinear wave equ ation with time- dependent damping, Tokyo J.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Nishihara, Asymptotic behavior of solutions to the semilinear wave equ ation with time- dependent damping, Tokyo J

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.565546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.740014Z digest=sha256:6d607a7178e3d4913e262938c55280b54ee890e3b7bc0e0509ed91f32e9aa364

Observation 7170159d-e94e-460d-a775-d283d31750c0 · outbound

This paper cites Palmieri, A global existence result for a semilinear scale-invariant wave equation in even dimension, Math.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Palmieri, A global existence result for a semilinear scale-invariant wave equation in even dimension, Math

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.538852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.747000Z digest=sha256:19c33adf75afbe238d0ba73286baf3a7fd91761bfbc000dac93797a7088143b6

Observation 4555fa25-a618-4162-b2b1-6187e10437ae · outbound

This paper cites Palmieri, M.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Palmieri, M

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.516922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.751999Z digest=sha256:38a168492a2970447262fa67f38d884a624be9765bfcd77646de4f4b835e7884

Observation 0d2db8c7-ed39-48c6-8cd9-aea8dc62b51a · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.490572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.757687Z digest=sha256:29ba92d4cbfabca6fe31efd4c8f097530b952fd0016a661a13a34b7be72fa549

Observation f45e9d99-67a7-477d-a879-e7ce195238d8 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.467052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.765225Z digest=sha256:8bc5d4304e7f98b83090d7f7034b6ef233069f46615ecfa3413415458f70c595

Observation 3424f9d1-5d34-45e3-ac9a-e19730a8c85a · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.443736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.772062Z digest=sha256:5f9dbce2372ac47b4cc62bc0b65981141c0ec7eb6274a16e2b826b1eb9075259

Observation f4e1821b-1c88-4bdb-bfdd-a0725866bdb6 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.416213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.776855Z digest=sha256:afe9ade5b2b0200487c87769231c36de2840b3237e507dce143aba725d8131c2

Observation d858ab22-b7a3-42e2-9b77-b057db6253e0 · outbound

This paper cites Schaeffer, The equation □ u = |u|p for the critical value of p, Proc.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Schaeffer, The equation □ u = |u|p for the critical value of p, Proc

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.386790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.782463Z digest=sha256:f3feb9271552d100610ec53064a6a0dbdfc500962ffb4425f92971d336d22aa5

Observation 7cab96ef-1341-407d-9d1e-5f1bfeaeb943 · outbound

This paper cites Sideris, Nonexistence of global solutions to semilinear wave equations in high dimensions, J.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Sideris, Nonexistence of global solutions to semilinear wave equations in high dimensions, J

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.364411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.789369Z digest=sha256:a1e4e517988b53e124f6034c9a998642a10f493956e93cb69dd4c5fe5945753b

Observation 5fd6fdc1-c14e-4848-8538-1c6568701301 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.344079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.795379Z digest=sha256:c4de9c26c50ec4bf30d0a9a6e6387b2b975a554bd946ad33b18b0bf6a0b439c8

Observation 3d080342-a6e1-4dfc-8dd1-4ee2791d337f · outbound

This paper cites Strauss, Nonlinear scattering theory at low energy , J.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Strauss, Nonlinear scattering theory at low energy , J

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.321581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.802991Z digest=sha256:bb3ba6bb042e3fdb3d3076601a142eac76d061071c95f53eaec1cf4a3b990542

Observation f2b6e3fe-0063-4701-acbc-0019bddb08ad · outbound

This paper cites Todorova, B.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Todorova, B

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.298326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.811175Z digest=sha256:09077f4d5ce981146fab9987aea7dad646f3aee01984c4682e28fa93342c1226

Observation 563f1962-08d5-4ef9-a01e-6aaf12f8c789 · outbound

This paper cites A note on the blowup of scale invariant damping wave equation with sub-Strauss exponent.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping A note on the blowup of scale invariant damping wave equation with sub-Strauss exponent

Reference 45

Resolution
verified exact
local_arxiv, observed 2026-08-10T22:35:42.961069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.818632Z digest=sha256:f46bc2b71050330d1862a56a3aecd7ddeca40dd3da3f3b4df674da33ec704202

Observation f50a1a5a-6cba-4f5b-81d5-c0143de07b04 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.270843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.826071Z digest=sha256:0882b8d80b3124a337ce403e100230471369880151ddf01fc37403f119c7c7f0

Observation 4a546dc0-6f3a-4a46-b607-01550f00650e · outbound

This paper cites Wakasugi, Critical exponent for the semilinear wave equation with sca le invariant damp- ing, in: F ourier Analysis, Birkh¨ auser, Cham, 2014, pp.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Wakasugi, Critical exponent for the semilinear wave equation with sca le invariant damp- ing, in: F ourier Analysis, Birkh¨ auser, Cham, 2014, pp

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.236772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.832192Z digest=sha256:7854a84e97e87f285ede99f7bf7c8cd041b165821eb035cde044014e794f2bce

Observation a1bee97b-b8b3-4013-b366-e9efb1483dfd · outbound

This paper cites Wakasugi, On the diffusive structure for the damped wave equation with variable coeffi- cients (Doctoral dissertation), Doctoral thesis, Osaka Universi ty, 2014.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Wakasugi, On the diffusive structure for the damped wave equation with variable coeffi- cients (Doctoral dissertation), Doctoral thesis, Osaka Universi ty, 2014

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.215275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.837815Z digest=sha256:38580baf7dccd18498f2b04b966214ded0909dc2c10d0d1a070f7084f0979330

Observation 9cf800c9-6bac-498b-8bca-7b01f6d818f7 · outbound

This paper cites Wakasa, B.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Wakasa, B

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.192636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.843587Z digest=sha256:b3dd5a30e7363a23d75e675c31e7c07a6ecc5878321f89738937b1323cfc326a

Observation d3a62254-a847-4811-84e5-f397800b601f · outbound

This paper cites Wang, Recent progress on the Strauss conjecture and related probl ems, Mathematica 48 (2018), no.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Wang, Recent progress on the Strauss conjecture and related probl ems, Mathematica 48 (2018), no

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.169934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.848811Z digest=sha256:0f8172137c6bc5020274d7c48b5ea8c710f8a837b51456bce35e06b3c5b6d528

Observation b407860e-0160-4ede-a7dd-43e9dbb757c5 · outbound

This paper cites Wirth, Wave equations with time-dependent dissipation.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Wirth, Wave equations with time-dependent dissipation

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.146349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.854661Z digest=sha256:2dbd3f47f7aee8bea741a183327444785fc9baecbc7eea6d20eedd50ac4045e4

Observation e0913b39-c618-4d31-8f2a-5d5384a20b43 · outbound

This paper cites Wirth, Wave equations with time-dependent dissipation.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Wirth, Wave equations with time-dependent dissipation

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.120886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.859897Z digest=sha256:f9b8b6d002c7f5a246faf8e335cffe816b891063c29992a3cf611d36b9b30607

Observation 21169f5e-3cd3-4574-a308-76065cf88fbb · outbound

This paper cites Y agdjian, Global existence for the n-dimensional semilinear Tricomi -type equations , Comm.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Y agdjian, Global existence for the n-dimensional semilinear Tricomi -type equations , Comm

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.095494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.866694Z digest=sha256:6371f656e810fa860a72cbc4690d1997ef76d4c2caac3759ee657686f4e683d2

Observation 90e84c0b-9298-400b-aae9-56d0b13053f7 · outbound

This paper cites Y agdjian, The self-similar solutions of the Tricomi-type equations , Z.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Y agdjian, The self-similar solutions of the Tricomi-type equations , Z

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.069535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.884499Z digest=sha256:23e7b4b9963562e08831c7e115c7d958ffd8bb5f3866bf470140ecfee7ac7412

Observation c72e0352-d8a5-4cd7-880b-2cce10814d2e · outbound

This paper cites Y ordanov, Q.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Y ordanov, Q

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:43.044546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.890422Z digest=sha256:8636ebd1d552678e73e90e8798c31eb1f2920008235483e7e9fdb1fea3865aba

Observation 9b014c8d-059f-464d-9866-23cccb34aeb0 · outbound

This paper cites an unresolved cited work.

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:43.018530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:35:42.895650Z digest=sha256:bb8f5058aafb1dabb7cd6b2a539a9ca83c15dd301e9a98617d4a0e853a4c4878

Pith citing papers

Observation 143577ee-fc06-4f4b-9361-3fef353190cb · inbound

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes cites this paper.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:04:40.863358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:04:40.499651Z digest=sha256:fa9a20712d507b994708e8b8d569dfac1878f8f7df4b7cc5dfc497584965206c