Paper Citation Record · LEDGER

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application

As of 21 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 2 inbound Pith citation observations for arXiv:2505.05268.

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

pith.paper-citation-record.v1
2505.05268 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:18:56.276676Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:35:07.987585Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T18:35:10.656081Z

Reference resolution

38 of 38 outbound references displayed

verified exact0
verified fuzzy18
unresolved20
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External citation measurements

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Outbound references

Observation fbbe8b9b-caef-49e4-a65b-4ad4232888fd · outbound

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

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application D’Abbicco, The threshold of effective damping for semilinear wave equations, Math

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.818946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 84f02bd0-0d9c-42ce-980a-855c11252ca5 · outbound

This paper cites D’Abbicco, Small data solutions for the Euler-Poisson-Darboux equation with a power non linearity, J.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application D’Abbicco, Small data solutions for the Euler-Poisson-Darboux equation with a power non linearity, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.805538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 24351daf-3286-4f62-8ded-08a42a5e37a6 · outbound

This paper cites D’Abbicco, S.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application D’Abbicco, S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.791089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a866d78a-afca-4322-8bb1-23e4dad5f738 · outbound

This paper cites D’Abbicco, S.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application D’Abbicco, S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.778177Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 07cb24fa-66d9-4bb5-abeb-36b10824f0d8 · outbound

This paper cites Erdelyi, W.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Erdelyi, W

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.764738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 497494da-ce7a-4226-ac97-8b012d928004 · outbound

This paper cites an unresolved cited work.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:18:56.751566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3c211646-25ef-4e04-b32a-1bdd14e1b146 · outbound

This paper cites an unresolved cited work.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:18:56.738147Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5902175a-c9f2-4362-af2a-f1c0572b1ad0 · outbound

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

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application 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 2026-08-15T23:18:56.723857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8a6368b4-57ef-431f-8128-44f0cc3b5079 · outbound

This paper cites Georgiev, H.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Georgiev, H

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.708519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6f0763b8-cba9-40a4-aa2b-b0ddb53b0c2c · outbound

This paper cites an unresolved cited work.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:18:56.694572Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 90cbcdde-e64b-44de-8942-c41626bd57b9 · outbound

This paper cites an unresolved cited work.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:18:56.680634Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f4f433bf-8df3-4035-b6a4-bd351a0e4df2 · outbound

This paper cites an unresolved cited work.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:18:56.666069Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a64078f8-7c8d-4d25-bd07-08b7f0533500 · outbound

This paper cites an unresolved cited work.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:18:56.652515Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 120d985c-8017-4e73-8c14-7743475d7363 · outbound

This paper cites an unresolved cited work.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:18:56.638562Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3a68a2c7-6644-4959-adb8-5133fd9f20d0 · outbound

This paper cites Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, II.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, II

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T23:18:56.178332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fb2679c-c7cb-4a9a-8670-edb490e3c347 · outbound

This paper cites Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T23:18:56.183083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8be02d28-6075-4311-8870-863e2e0a3161 · outbound

This paper cites Ikeda, M.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Ikeda, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.625542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a19dcdfd-d055-4586-b279-dba0984bce28 · outbound

This paper cites an unresolved cited work.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:18:56.612873Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3d803db7-3263-495c-befb-2dd7cfcd6e00 · outbound

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

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application John, Blow-up of solutions of nonlinear wave equations in three space dimensions, Manuscripta Math

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.599351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5f014130-ab6e-485e-8c2c-294a589f3ee4 · outbound

This paper cites an unresolved cited work.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:18:56.585472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 267d26c8-8d3d-41fa-9390-9a647d4e52c4 · outbound

This paper cites Lai, Weighted L2-L2 estimate for wave equation in R3 and its applications.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Lai, Weighted L2-L2 estimate for wave equation in R3 and its applications

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.571327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1b664550-29af-410d-8fff-3ae3037bd382 · outbound

This paper cites an unresolved cited work.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:18:56.558359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5195839d-e8d8-4565-9b9e-f645d2cfc4fe · outbound

This paper cites A blow-up result for the semilinear Euler-Poisson-Darboux-Tricomi equation with critical power nonlinearity.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application A blow-up result for the semilinear Euler-Poisson-Darboux-Tricomi equation with critical power nonlinearity

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T23:18:56.212614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation faf21a69-9f41-465d-8f98-925a452b4bd3 · outbound

This paper cites an unresolved cited work.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:18:56.544739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b61a8362-1573-4e21-b4da-c6b3cb500d66 · outbound

This paper cites an unresolved cited work.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:18:56.531464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 94ffd958-5488-4446-9862-5b2cd4370b66 · outbound

This paper cites Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, I.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, I

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T23:18:56.225225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 360799c5-835c-4da8-aa5a-f49fe00fac42 · outbound

This paper cites an unresolved cited work.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:18:56.518240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ab5e2d76-0977-4582-b8d7-1ee58be37f50 · outbound

This paper cites Lindblad, C.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Lindblad, C

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T23:18:56.234310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0df9c01-ff22-4906-8dfe-de8da7843cc6 · outbound

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

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Palmieri, A global existence result for a semilinear scale-invariant wave equation in even dimension, Math

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T23:18:56.238620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e69e6466-cbb5-44d0-b445-31c4c005ee9f · outbound

This paper cites Palmieri, Integral representation formulae for the solution of a wave equation with time-dependent damping and mass in the scale-invariant case, Math.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Palmieri, Integral representation formulae for the solution of a wave equation with time-dependent damping and mass in the scale-invariant case, Math

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.487005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9209d887-6897-45f0-b5e7-932ba9c0ed74 · outbound

This paper cites On the the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equation with power nonlinearity.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application On the the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equation with power nonlinearity

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T23:18:56.246965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e29cfab1-e65e-4c21-9c73-2b45a91bc18c · outbound

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

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Sideris, Nonexistence of global solutions to semilinear wave equations in high dimensions, J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.471121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 81c03c30-c93b-4ad3-88a7-99f409d38b21 · outbound

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

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Strauss, Nonlinear scattering theory at low energy, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.456086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7d148782-fab5-4e50-b539-d1ae51c91db7 · outbound

This paper cites Wakasa, The lifespan of solutions to semilinear damped wave equations in one space dimension, Commun.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Wakasa, The lifespan of solutions to semilinear damped wave equations in one space dimension, Commun

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.440618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a6dbc3a8-fe8c-48ef-a13d-c48779d6c0b0 · outbound

This paper cites Wakasugi, Critical exponent for the semilinear wave equation with scale invariant damping, in: Fourier Analysis, Birkh¨auser, Cham, 2014, pp.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Wakasugi, Critical exponent for the semilinear wave equation with scale invariant damping, in: Fourier Analysis, Birkh¨auser, Cham, 2014, pp

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.426753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9d4c4f25-f674-45fd-a8ae-62d338e383fd · outbound

This paper cites Wirth,Solution representations for a wave equation with weak dissipation, Math.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Wirth,Solution representations for a wave equation with weak dissipation, Math

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.412645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0dfbe52b-c7af-4a37-9e57-54d53b7a5e9a · outbound

This paper cites Yordanov, Q.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Yordanov, Q

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.397710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6d5f641b-0da6-4b25-8d17-ebca52872507 · outbound

This paper cites Zhou, Blow up of solutions to semilinear wave equations with critical exponent in high dimensions, Chinese Ann.

Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application Zhou, Blow up of solutions to semilinear wave equations with critical exponent in high dimensions, Chinese Ann

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:18:56.383613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation b3d163b7-0401-43ac-833e-39f7be3d9cc9 · inbound

Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, III cites this paper.

Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, III Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application

Reference 10

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T18:35:10.660375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c8941463-657b-40c9-96d9-6b822a62ff52 · inbound

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations cites this paper.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Morawetz type estimate for damped wave equation in $\mathbb{R}^n (n\geq 4)$ and its application

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-11T17:02:26.447669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.