Decay Estimates of a Tangential Derivative to the Light Cone for the Wave Equation and Their Application

DOI10.1137/070694417zbMath1160.35014arXiv0706.4158OpenAlexW1986699193MaRDI QIDQ3545234

Hideo Kubo, Soichiro Katayama

Publication date: 10 December 2008

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.4158

zbMATH Keywords

global existencenonlinear wave equationnull condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45)

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Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions ⋮ Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions ⋮ Global existence of null-form wave equations on small asymptotically Euclidean manifolds ⋮ An alternative proof of global existence for nonlinear wave equations in an exterior domain

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