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Paper Citation Record · LEDGER

Scattering of solutions to NLW by Inward Energy Decay

As of 17 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1909.01881.

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

pith.paper-citation-record.v1
1909.01881 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:15:20.183535Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

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  • verified fuzzy10
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e94f16cd-327a-486a-ba27-01055ac35205 · outbound

This paper cites Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation.

Scattering of solutions to NLW by Inward Energy Decay Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:15:20.250199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T05:15:20.127439Z digest=sha256:e1906eafe31968799d89dd111e3f724a37cf4f84b190a542bac859ecc928e6c5

Observation 5a98cb7f-d755-44c3-903b-69abe91eecf4 · outbound

This paper cites Scattering for the radial 3d cubic wave equation.

Scattering of solutions to NLW by Inward Energy Decay Scattering for the radial 3d cubic wave equation

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:20.419539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T05:15:20.133995Z digest=sha256:8750ec349a17f3daf1ac0c5f35a66f5a357e4b91a5eb3cd91f52ab1773605cd1

Observation ca40ab2b-3c88-4f4b-9fce-3b198aaffc95 · outbound

This paper cites Scattering for radial, bounded solutions of focusing supercritical wave equations.

Scattering of solutions to NLW by Inward Energy Decay Scattering for radial, bounded solutions of focusing supercritical wave equations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:20.403883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T05:15:20.139327Z digest=sha256:1abdaec85753217fc61fd124fdcd7be912a950dcf9b04c5c18250ebe4e909d99

Observation 36d89b81-df7d-4bc8-aa80-cbbd915e3780 · outbound

This paper cites Conformal invariance and time decay for nonlinear wave equa- tions.

Scattering of solutions to NLW by Inward Energy Decay Conformal invariance and time decay for nonlinear wave equa- tions

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:20.385989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T05:15:20.144574Z digest=sha256:199b085bff2584447ede218f775c0d822e1503b6fabc3e5ca044b83c9463f695

Observation 67f49115-7a66-4a9c-ac9f-bf83fe386e26 · outbound

This paper cites Generalized Strichartz inequality for the wave equation.

Scattering of solutions to NLW by Inward Energy Decay Generalized Strichartz inequality for the wave equation

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:20.368083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T05:15:20.149616Z digest=sha256:6ba174e8b3865207101d838f315023d92d74bcf0a70773daebb32a426c7e8f74

Observation 308ecfa6-3638-4da3-96c8-acb04e67bd58 · outbound

This paper cites Regularity and asymptotic behaviour of the wave equation with critical non- linearity.

Scattering of solutions to NLW by Inward Energy Decay Regularity and asymptotic behaviour of the wave equation with critical non- linearity

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:20.351426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T05:15:20.154411Z digest=sha256:4251450780694037e14a6586bc9b313d646da2c6c12ac43fca7879a1f9c67f0e

Observation 32416a4f-c3f2-49cd-a158-7012973d4cb2 · outbound

This paper cites Conformal conservation law, time decay and scattering for nonlinear wave equation.

Scattering of solutions to NLW by Inward Energy Decay Conformal conservation law, time decay and scattering for nonlinear wave equation

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:20.333674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T05:15:20.159782Z digest=sha256:39e2bca1c500b33e6a762af0f1a28d8d7004c7f4b815767bd5d79071c579abc8

Observation 2b76daa2-cf16-4408-acbb-d9fdcc50d97e · outbound

This paper cites Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications.

Scattering of solutions to NLW by Inward Energy Decay Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:20.316183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T05:15:20.165120Z digest=sha256:b045ee83828d2b83fb21fdc04fc8c04db4cdaf79df97c0130e9d35dbf00f96b7

Observation 273b44f7-9a6e-4589-a2c0-19619da724bd · outbound

This paper cites On existence and scattering with minimal regularity for semi- linear wave equations.

Scattering of solutions to NLW by Inward Energy Decay On existence and scattering with minimal regularity for semi- linear wave equations

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:20.299298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T05:15:20.169691Z digest=sha256:100d1cc2decff8c1c255bdf61297a1aace848d8cf6fe44ac91694a183912ed95

Observation c0262362-b92d-4226-94b5-68ec6a63df2f · outbound

This paper cites Morrey-Campanato estimates for Helmholtz equations.

Scattering of solutions to NLW by Inward Energy Decay Morrey-Campanato estimates for Helmholtz equations

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:20.281970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T05:15:20.174422Z digest=sha256:01a98f0eb793faa3de34b2ec91e30e83eecc16f86b21dd0c8b55aeb3a43d00be

Observation c80e7aeb-c05d-40b5-a817-615d8cf2a1dc · outbound

This paper cites On the energy subcritical, nonlinear wave equation in R3 with radial data.

Scattering of solutions to NLW by Inward Energy Decay On the energy subcritical, nonlinear wave equation in R3 with radial data

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:15:20.265812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T05:15:20.178878Z digest=sha256:fa7ec460e1101c0adb3110d7197f0ad4e1064299d5a87a9465b8bb9d9980b820

Observation 6f5d783f-930d-4961-8d77-def08082661f · outbound

This paper cites Energy Distribution of Radial Solutions to Energy Subcritical Wave Equation with an Application on Scattering Theory.

Scattering of solutions to NLW by Inward Energy Decay Energy Distribution of Radial Solutions to Energy Subcritical Wave Equation with an Application on Scattering Theory

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:15:20.228207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T05:15:20.183535Z digest=sha256:4e30997ca7fe6b2ddf85a09cfdc4a999281252a1fa199e8c8a4fd79331ad954b

Pith citing papers

No inbound Pith citation observations are available.