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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=sha256:2a7452535b5198e68eb2fea07e03c0bb6a2318fb24486177c3609264d0ea0af8

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=sha256:9ee862d613079749020368e7f924c44014e86fc619b158435673cfed80433cc7

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=sha256:35bb11a2dd44778dd1df67576d5705f465040af93da6ddbfbec38e461fdfe808

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=sha256:14d66b641610728cd7067a7c4196b203d48be2fa1977c9f179e4218818632030

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=sha256:25fe7a13bec44299f547b4d3ded3680b9fed03b77520b7de5ac7c76a9cd71be3

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:fc8cb7a3920bfb698abb8a437bd5afc28869ac861c36fdf0ee51d9088fb09a33

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:cd125d2fd359f715a67b4627e75bea521e8f07fc263f072c1a59cb8a463abfca

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=sha256:2c5696ac15f5345e321c9f65fc6eb9e86794c61232bbff48884a3291ec9d8e5c

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=sha256:43300c88e15215e3858bdf2e598031310b08aa0d30318898ed7c450761d75313

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:ecad68330f511292ef0df5fe69bf694f655f3f78b861dc413c6017fdc367cc06

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:f3e3d7214e2dbdb0c7aafe23fa776de09aadb46adcc020b7d69e6d16d15e69ce

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=sha256:6eab03ad193838a7688bc933d23d3be662f4cc65493e59ecf62378c8dfdf6519

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:ee3b0fb74590606d911fe55c76995ab88022f2e48e7a889fee1cfdf136dee487

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=sha256:3142633d458d918953ac0402f2ceb83849301364e5d127b796d284287d167907

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:a6dece14f2bdd14b5dfea4acfdc4e4aba7542c9fc49795cff74aed1b37050619

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:fe9e3a9eac45c290567312bc890ef9390b4026d056eeb0c670663fbfaa75df61

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.

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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:fcaa43ce552858f2f7c3215bafdde003b64587d4a6631b0eb9e845e4df85ad15

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=sha256:5379914e8e29eb60c1fd4388d280beae51522f349b5c3d0ddb661ef12d8a89e3

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=sha256:3bcccb07c270d945b5931953ec023af5cad9c1446ae5606cc9743c2f96176d2d

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=sha256:946b5411e799c70a48e50581015c597266dea9649ccae1d1796b1ddab3c913f3

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=sha256:8ba83bc2c39226232df5c0d4f6426f0f0978a861d8e7d5e878917a01b5257d2a

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=sha256:48eff0f5a09c3752e4403019e10b00dc1e78f9dae7d6fa38a30b05e79e402660

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=sha256:0a2b95aebc4958abbc9baa1bebe1dbed561e6b709d8a4758148ccdd7094c3005

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:a2486bec929e0a89e104f31d4ab29cc5bc15641b2a23305f5907ef8c938ee3b4

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=sha256:42d1206469294b266263aa830a6afe52cf4d74ee55bab618a5c40b2398c495e4

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:cecb86a73cef899569eb64d9cdc7db8e8c22806aef5cb76354ec2e32d298c3d4

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=sha256:22b05468839ce2b429892f8d9924a9d87e29eb9cadae05f4927113173bed2d67

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=sha256:01ea80f09be7e8245d2554677aa2c1f137762a410b125a685aa50a4f0830317f

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=sha256:322aac45dabebd89a346f33dfe919d9fca65e893f379b975904f93439f1c9d8f

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=sha256:6a0d0cda8e9be283e2b810381a8f6d7abb062beddd8fc57844fe66c1f6daaecc

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:ed56fba8561184f2b06c9d8f7e5c70444cb1697d9aed65788624d0878f86511b

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=sha256:17b1b84326a9ce5f936d773a4b75caeb211ccb39a3bdb365d63eb1461b34ef68

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=sha256:009d09e27265c6ab34e941be73baca0c9fd4066e34a845eb9a9b5a804e18d3e9

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=sha256:4270c02cdec20e2a6a972c87ff154883d1d70a2f2d0f3a9e7a0084c6a97d29ae

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:c9b34cdd55d5f96f9ed9951c54f446c952997fea8e33be33eefba2e8234eea86

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:c881d1f22b0b08b774d0462d5d33c706f12b6bb9608220fe1d6a97fb1ae576cb

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=sha256:749dfc478adae24fcdb2dffe95369028b3c9902a53ee529fda17cf867d7ef04a

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=sha256:2680fdf9a721ca1a461ce3b8cc25201b10a62068bd228fa467466f55a4757834

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:cf6799eabf9e049ca672222843793a5b2433ee9959c7e14a8996bb8adbfee38c

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=sha256:5bb189fb7a0bf183ecfee379e7b11be2f8ed76a6445cce1f21870f4f98894268

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:c35e6aedad204e5edb0d6fcce24c852f649e576a51917bc806fefdef72f20ca9

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:aa55cce5e90013da10316c76c7c73f97e384ecdff728e3e822d0636a903a0459

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=sha256:996081d0829a1662920e7c9741a4a62bddeaf63b778f2588fec84dca248fdc30

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:a412d829b8ca955a46d93a3bba21a777d657b516b745458d25e8efbcd3d1bc9e

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:a90e0f26f0d1dc94cb87eaa1f632935ac3681adc810c6ec1c557689c624e93ab

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=sha256:1065f4c80e33902703f2f39f14bdcd0a747531cace70e2657eb57315c49170b8

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=sha256:3002a3a897934b346cfc839c48a08939a26df165f4e9f3d0a110cdaaa3565be2

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:acf08543dbf7d1c7656d531542404bbdf2ac6c4085fd12f02169abfe4e8231d6

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=sha256:37c4155444e1983519751efff6f753c6ad2d8343e2af4824870306b7ca1cee1e

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=sha256:3820868be203e5023ce5cf70f30c076004b0a7e55c4b928150f4afae64b29353

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:f037be927986b0f274a55bee5f62729168cbf8567854b59e0c697f5df8dc7dd4

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=sha256:6cb27edf4b731b1a9fc3daaede4a9679fbb4d2a11bee09eb10ded3c3a545c0f2

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:cb7259ae0fcc48dace5aaef86e4434bbe2c388c71e89846d70e96d64592cbb5f

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=sha256:3a49cc37df1af23445cf04bf883ecb7e8b5c78bc701bdb377c76b72dedf90b2f

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=sha256:134884bfb348bda84c10d1d3a5886af3270b1c9fb8b4f5b83b857034d1c8ba4c

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=sha256:4749df4eb3489154f5796673fa6e65b24e555b9f01d876657a51d9040a118354