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Linear and nonlinear tails II: exact decay rates in spherical symmetry

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arxiv 0712.0493 v1 pith:GY3FTSJQ submitted 2007-12-04 math-ph gr-qcmath.MP

Nikodem Szpak , Piotr Bizoń , Tadeusz Chmaj , Andrzej Rostworowski This is my paper · ORCID
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keywords nonlinearexactlinearasymptoticscompetitiondecayderivedominant
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We derive the exact late-time asymptotics for small spherically symmetric solutions of nonlinear wave equations with a potential. The dominant tail is shown to result from the competition between linear and nonlinear effects.

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  1. Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay

    gr-qc 2026-08 conditional novelty 6.0 of 10

    Homothetic hyperboloidal coordinates give semilinear wave tails the same exponential decay rate at every compactified radius, removing the late-time resolution bottleneck.

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