The Fuchsian approach to global existence for hyperbolic equations

DOI10.1080/03605302.2020.1857402zbMath1479.35088arXiv1907.04071OpenAlexW3115621979MaRDI QIDQ5164922

J. Arturo Olvera-Santamaría, Florian Beyer, Todd Andrew Oliynyk

Publication date: 15 November 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04071

zbMATH Keywords

global existencedecay estimatesnonlinear wave equationsnull conditionFuchsian equationssystem of symmetric hyperbolic equations with a time singularity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Black holes (83C57) First-order nonlinear hyperbolic equations (35L60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Fuchsian PDEs (35Q07)

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