Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay | Paper Citation Record

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Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Unresolved cited work

Reference 1

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Observation 8d044160-26f9-4f78-b43b-e6d967f5a11b · outbound

This paper cites For the energy balance, we set the nonlinear term to zero and evolve the linear equation in both coordinate systems.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay For the energy balance, we set the nonlinear term to zero and evolve the linear equation in both coordinate systems

Reference 2

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Observation 1ad3a48f-fd80-40f0-94f6-03f990cb61f8 · outbound

This paper cites In a direct implementation, regularity is obtained through cancellations between radial and angular terms.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay In a direct implementation, regularity is obtained through cancellations between radial and angular terms

Reference 3

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Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Unresolved cited work

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Observation 63e7ee0e-e583-41c5-8ee2-70dbe431de90 · outbound

This paper cites A note on late-time tails of spherical nonlinear waves.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay A note on late-time tails of spherical nonlinear waves

Reference 5

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Observation f6dd323a-5c51-4ffe-ae79-03bda20e21ef · outbound

This paper cites Linear and nonlinear tails II: exact decay rates in spherical symmetry.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Linear and nonlinear tails II: exact decay rates in spherical symmetry

Reference 6

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This paper cites Numerical solution of the 2+1 Teukolsky equation on a hyperboloidal and horizon penetrating foliation of Kerr and application to late-time decays.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Numerical solution of the 2+1 Teukolsky equation on a hyperboloidal and horizon penetrating foliation of Kerr and application to late-time decays

Reference 7

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This paper cites Faithful effective-one-body waveform of small-mass-ratio coalescing black hole binaries: the eccentric, nonspinning, case.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Faithful effective-one-body waveform of small-mass-ratio coalescing black hole binaries: the eccentric, nonspinning, case

Reference 8

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Observation f02f33f5-1dc3-44b4-9491-0e53065a74b3 · outbound

This paper cites Inspiral-inherited ringdown tails.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Inspiral-inherited ringdown tails

Reference 9

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Observation f7043252-f481-46dd-92cf-fc96d00e5378 · outbound

This paper cites Islam, G.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Islam, G

Reference 10

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Observation e9d3c41b-5f28-4aff-b584-634272b5e1f1 · outbound

This paper cites Analysis of late-time tails in spin-aligned eccentric binary black hole mergers.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Analysis of late-time tails in spin-aligned eccentric binary black hole mergers

Reference 11

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Observation f6a8c14b-0216-4f6c-9b85-e461c13b1c95 · outbound

This paper cites Gravitational-wave tails and memory effect for mergers in astrophysical environments.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Gravitational-wave tails and memory effect for mergers in astrophysical environments

Reference 12

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Observation d56fcf30-1343-4178-a4b8-e13a834a456b · outbound

This paper cites Spectral suppression of black hole ringdown tails.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Spectral suppression of black hole ringdown tails

Reference 13

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Observation 343ef7ce-01df-4648-8a89-c1a625c3b456 · outbound

This paper cites De Amiciset al., Phys.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay De Amiciset al., Phys

Reference 14

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Observation 58498b2f-e698-43b5-83c3-5f4d9a185703 · outbound

This paper cites Dynamical nonlinear tails in Schwarzschild black hole ringdown.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Dynamical nonlinear tails in Schwarzschild black hole ringdown

Reference 15

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Observation d19348cd-7e24-467b-a5f5-a273581c68f2 · outbound

This paper cites Ling and S.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Ling and S

Reference 16

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Observation 2a251022-5679-4408-8375-94c9152d1fee · outbound

This paper cites A hyperboloidal study of tail decay rates for scalar and Yang-Mills fields.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay A hyperboloidal study of tail decay rates for scalar and Yang-Mills fields

Reference 17

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This paper cites Hyperboloidal foliations and scri-fixing.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Hyperboloidal foliations and scri-fixing

Reference 18

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Observation da7f8aca-190a-4e40-a945-24cd927b2a35 · outbound

This paper cites Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem

Reference 19

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This paper cites Asymptotics of Schwarzschild black hole perturbations.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Asymptotics of Schwarzschild black hole perturbations

Reference 20

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This paper cites Hyperboloidal slices for the wave equation of Kerr-Schild metrics and numerical applications.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Hyperboloidal slices for the wave equation of Kerr-Schild metrics and numerical applications

Reference 21

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Observation c16c60e9-70eb-4df4-aa6c-7c598f3742a7 · outbound

This paper cites Numerical investigation of the late-time Kerr tails.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Numerical investigation of the late-time Kerr tails

Reference 22

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This paper cites Horizon-absorption effects in coalescing black-hole binaries: An effective-one-body study of the non-spinning case.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Horizon-absorption effects in coalescing black-hole binaries: An effective-one-body study of the non-spinning case

Reference 23

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Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Intermediate behavior of Kerr tails

Reference 24

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This paper cites A new gravitational wave generation algorithm for particle perturbations of the Kerr spacetime.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay A new gravitational wave generation algorithm for particle perturbations of the Kerr spacetime

Reference 25

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This paper cites Numerical investigation of the dynamics of linear spin $s$ fields on Kerr background I. Late time tails of spin $s = \pm 1, \pm 2$ fields.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Numerical investigation of the dynamics of linear spin $s$ fields on Kerr background I. Late time tails of spin $s = \pm 1, \pm 2$ fields

Reference 26

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Observation d16090f7-9d16-4bdd-9ceb-c72735ed58ed · outbound

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Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Hyperboloidal layers for hyperbolic equations on unbounded domains

Reference 27

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Observation cb686193-b357-4b37-b496-0ab6a8fa9ffc · outbound

This paper cites Hyperboloidal evolution of test fields in three spatial dimensions.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Hyperboloidal evolution of test fields in three spatial dimensions

Reference 28

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This paper cites The evolution of hyperboloidal data with the dual foliation formalism: Mathematical analysis and wave equation tests.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay The evolution of hyperboloidal data with the dual foliation formalism: Mathematical analysis and wave equation tests

Reference 29

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Observation 99a2d462-49c5-4596-ab62-68184fa742a7 · outbound

This paper cites Summation by Parts and Truncation Error Matching on Hyperboloidal Slices.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Summation by Parts and Truncation Error Matching on Hyperboloidal Slices

Reference 30

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Observation c3c3c441-0315-48bf-a14d-825d37a698ac · outbound

This paper cites 3D Evolution of a Good-Bad-Ugly-F Model on Compactified Hyperboloidal Slices.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay 3D Evolution of a Good-Bad-Ugly-F Model on Compactified Hyperboloidal Slices

Reference 31

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Observation b1c6da2c-2347-448f-ab54-c434c7292efb · outbound

This paper cites Rinne, Nonlinearity38, 105026 (2025), arXiv:2507.00674 [cs.NA].

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Rinne, Nonlinearity38, 105026 (2025), arXiv:2507.00674 [cs.NA]

Reference 32

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This paper cites 3d Summation-by-Parts scheme for Linear Wave Equations on Hyperboloidal Slices.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay 3d Summation-by-Parts scheme for Linear Wave Equations on Hyperboloidal Slices

Reference 33

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Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations

Reference 34

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Observation 8c74802c-a176-4cee-9063-fe3cc0500ce2 · outbound

This paper cites Nondispersive decay for the cubic wave equation.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Nondispersive decay for the cubic wave equation

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:29:09.874572Z

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Observation 9f0b8da8-5626-451d-8db5-37549c5f55ad · outbound

This paper cites Hyperboloidal evolution and global dynamics for the focusing cubic wave equation.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Hyperboloidal evolution and global dynamics for the focusing cubic wave equation

Reference 36

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Observation e8fff9b2-383f-4eec-810d-043d2a642f48 · outbound

This paper cites Bonk and R.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Bonk and R

Reference 37

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This paper cites Universality of global dynamics for the cubic wave equation.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Universality of global dynamics for the cubic wave equation

Reference 38

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Observation 26abe5e6-1198-4cef-a72b-bf914668cfce · outbound

This paper cites Penrose, Phys.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Penrose, Phys

Reference 39

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Observation 80e074db-f48a-48ed-b7ed-65bab01366ec · outbound

This paper cites Frauendiener, Living Rev.Rel.3, 4 (2000).

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Frauendiener, Living Rev.Rel.3, 4 (2000)

Reference 40

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Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Unresolved cited work

Reference 41

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This paper cites Conformally regular ADM evolution equations,.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Conformally regular ADM evolution equations,

Reference 42

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This paper cites What does a strongly excited 't Hooft-Polyakov magnetic monopole do?.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay What does a strongly excited 't Hooft-Polyakov magnetic monopole do?

Reference 43

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Observation 6a358332-19e2-4564-91c6-25aecc69c8c4 · outbound

This paper cites Friedrich, Comm.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Friedrich, Comm

Reference 44

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Observation dd5c46f3-483b-4c84-ac84-77c00501c6aa · outbound

This paper cites Hyperboloidal approach for static spherically symmetric spacetimes: a didactical introduction and applications in black-hole physics.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Hyperboloidal approach for static spherically symmetric spacetimes: a didactical introduction and applications in black-hole physics

Reference 45

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Observation 46bcb7e5-3ae9-4328-a80f-8f589d68f46d · outbound

This paper cites Height-function-based 4D reference metrics for hyperboloidal evolution.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Height-function-based 4D reference metrics for hyperboloidal evolution

Reference 46

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This paper cites Bridging time across null horizons.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Bridging time across null horizons

Reference 47

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This paper cites N¨ utzi, (2025), arXiv:2510.01964 [gr-qc].

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay N¨ utzi, (2025), arXiv:2510.01964 [gr-qc]

Reference 48

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This paper cites New Coordinates for de Sitter Space and de Sitter Radiation.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay New Coordinates for de Sitter Space and de Sitter Radiation

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:29:09.583305Z

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This paper cites Asymptotics from scaling for nonlinear wave equations.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Asymptotics from scaling for nonlinear wave equations

Reference 50

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T04:29:09.562632Z

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Observation a3e0b1d6-f465-4cf6-a743-ad0754a5d623 · outbound

This paper cites Late-time attractor for the cubic nonlinear wave equation.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Late-time attractor for the cubic nonlinear wave equation

Reference 51

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Observation fc7e16ee-fc2d-4ce4-a4e9-3818ce145885 · outbound

This paper cites Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes

Reference 52

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Observation dece8efd-bc2f-4fcb-b08e-c25e4917d958 · outbound

This paper cites Late time tail of waves on dynamic asymptotically flat spacetimes of odd space dimensions.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Late time tail of waves on dynamic asymptotically flat spacetimes of odd space dimensions

Reference 53

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This paper cites N¨ utzi,Maurer-Cartan perturbation theory and scattering amplitudes in general relativity, Ph.D.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay N¨ utzi,Maurer-Cartan perturbation theory and scattering amplitudes in general relativity, Ph.D

Reference 54

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This paper cites Spacelike matching to null infinity.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Spacelike matching to null infinity

Reference 55

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Observation 3852e7ab-e9f9-4dc8-8806-31fc8ec5bee0 · outbound

This paper cites Dedalus: A Flexible Framework for Numerical Simulations with Spectral Methods.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Dedalus: A Flexible Framework for Numerical Simulations with Spectral Methods

Reference 56

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Observation 0f8537f5-d0db-4ba5-95b2-743e8d299455 · outbound

This paper cites Lecoanet, G.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Lecoanet, G

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:29:10.522324Z

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Observation 01cd27a4-5b5f-49ad-b82a-93611e529c40 · outbound

This paper cites Tensor calculus in spherical coordinates using Jacobi polynomials. Part-I: Mathematical analysis and derivations.

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay Tensor calculus in spherical coordinates using Jacobi polynomials. Part-I: Mathematical analysis and derivations

Reference 58

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:29:09.457159Z

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