Paper Citation Record · LEDGER

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations

As of 21 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.04575.

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

pith.paper-citation-record.v1
2607.04575 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T17:02:26.447669Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

29 of 29 outbound references displayed

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Outbound references

Observation 98309bb6-e3d1-49f8-b6df-0b930c5fa406 · outbound

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

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations D’Abbicco, Small data solutions for the Euler-Poisson-Darboux equation with a power non- linearity

Reference 1

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

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Observation 48abdef5-3cf2-40b0-9b8d-a192ad8bdfdc · outbound

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

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations D’Abbicco, The threshold of effective damping for semilinear wave equations

Reference 2

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

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Observation cd5b389a-76c6-45df-9e8f-8394c30b6288 · outbound

This paper cites D’Abbicco, S.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations D’Abbicco, S

Reference 3

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Observation dd59b745-12d1-4726-b3cf-0442bc63de17 · outbound

This paper cites D’Abbicco, S.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations D’Abbicco, S

Reference 4

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Observation 1b708e57-1fef-4106-8db7-21f6a2546943 · outbound

This paper cites Fujita, On the blowing up of solutions of the Cauchy Problem foru t = ∆u+u 1+α.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Fujita, On the blowing up of solutions of the Cauchy Problem foru t = ∆u+u 1+α

Reference 5

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

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Observation b4006a7c-465e-4761-bab0-0e2f5c88e3d9 · outbound

This paper cites Takamura, Nonexistence of global solutions to the Euler- Poisson-Darboux equation inR n: subcritical case.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Takamura, Nonexistence of global solutions to the Euler- Poisson-Darboux equation inR n: subcritical case

Reference 6

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

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

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

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

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Observation 69293fac-e71f-4ef7-a9bb-45d6843d6731 · outbound

This paper cites Discrete Contin.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Discrete Contin

Reference 8

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Observation 8621cc82-ac5a-4208-af8e-432ad7926bcf · outbound

This paper cites H ¨ormander, Lectures on nonlinear hyperbolic equations.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations H ¨ormander, Lectures on nonlinear hyperbolic equations

Reference 9

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Observation 283368a9-acd6-41d7-a474-1b861b806da0 · outbound

This paper cites Ikeda, M.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Ikeda, M

Reference 10

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Observation 5ef158e8-0ecc-43ae-a225-ffe008c397da · outbound

This paper cites an unresolved cited work.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Unresolved cited work

Reference 11

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Observation 07d40cd8-370b-4826-be74-8290c3851247 · outbound

This paper cites Klainerman, Uniform decay estimates and Lorentz invariance of the classical wave equation.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Klainerman, Uniform decay estimates and Lorentz invariance of the classical wave equation

Reference 12

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

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Observation 4328a9ac-d5f0-4841-b0d9-9ca7e97708cd · outbound

This paper cites Klainerman, G.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Klainerman, G

Reference 13

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Observation 92582e5b-d884-4ed6-9123-9db79ffb1f1b · outbound

This paper cites Takamura, K.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Takamura, K

Reference 14

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Observation dedd32ed-cd9b-4df7-9564-3765cbce866a · outbound

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

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, I

Reference 15

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Observation 12e87f05-dd8d-4b4f-8e9b-040d8c4bfd64 · outbound

This paper cites an unresolved cited work.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Unresolved cited work

Reference 16

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

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Observation a41eb2df-c92a-47c3-94c7-4ed7763fbeab · outbound

This paper cites Preprint (2026).

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Preprint (2026)

Reference 17

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Observation 8fe8b827-f31a-4070-bbb2-74c60f61e751 · outbound

This paper cites an unresolved cited work.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Unresolved cited work

Reference 18

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

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Observation 9a7a903d-b7e0-48b8-9872-4d34a0652841 · outbound

This paper cites an unresolved cited work.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Unresolved cited work

Reference 19

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

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Observation 8c54a4a6-6477-45d3-b3bd-863a3ecac105 · outbound

This paper cites an unresolved cited work.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Unresolved cited work

Reference 20

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

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Observation 387cf8ab-ba9c-47d4-a63a-049e020e60bd · outbound

This paper cites Olver, D.W.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Olver, D.W

Reference 21

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Observation 2e053aeb-0814-4a7c-8b40-f994231c2144 · outbound

This paper cites Palmieri, On the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equa- tion with power nonlinearity.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Palmieri, On the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equa- tion with power nonlinearity

Reference 22

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

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Observation 11e5d02e-1bd6-4439-accb-1b0c5feb927b · outbound

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

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Palmieri, A global existence result for a semilinear scale-invariant wave equation in even dimension

Reference 23

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

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Observation e3517102-4a98-460d-a9dc-6b0ec6eca819 · outbound

This paper cites Palmieri, M.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Palmieri, M

Reference 24

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

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Unavailable: canonical work link unavailable.

Observation d65bfe1e-fae8-4368-b4af-0df83e774071 · outbound

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

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Strauss, Nonlinear scattering theory at low energy

Reference 25

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

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Observation cfbfbc36-f195-4da2-bd7e-ab0745303ea2 · outbound

This paper cites Differential Integral Equations32(2019), no.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Differential Integral Equations32(2019), no

Reference 26

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Observation c72ca5fc-40b8-4f80-a1d7-75bc26d887a6 · outbound

This paper cites Wakasugi, Critical exponent for the semilinear wave equation with scale invariant damping, in: Fourier Analysis.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Wakasugi, Critical exponent for the semilinear wave equation with scale invariant damping, in: Fourier Analysis

Reference 27

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Observation 25392d91-ae6e-464f-bbd5-6de88aa4e12c · outbound

This paper cites Watson, A Treatise on the Theory of Bessel Functions.

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Watson, A Treatise on the Theory of Bessel Functions

Reference 28

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Observation f1e7a87c-b7db-410d-a26d-0eba24139798 · outbound

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

Global existence of small data solutions to 3-D semilinear Euler-Poisson-Darboux equations Wirth, Solution representations for a wave equation with weak dissipation

Reference 29

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

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Pith citing papers

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