Local existence of \(C^{\infty}\)-solution for the initial-boundary value problem of fully nonlinear wave equation

DOI10.3792/pjaa.60.149zbMath0567.35061OpenAlexW1998392725MaRDI QIDQ1059791

Yoshio Tsutsumi, Yoshihiro Shibata

Publication date: 1984

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.60.149

zbMATH Keywords

existencesmoothnesslocal solutionfully nonlinear wave equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order nonlinear hyperbolic equations (35L70)

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Cites Work

• On the global existence of classical solutions of second order fully nonlinear hyperbolic equations with first order dissipation in the exterior domain
• Global existence of small solutions to nonlinear evolution equations
• Sur les problèmes de Cauchy hyperboliques bien posés
• Delayed singularity formation in solution of nonlinear wave equations in higher dimensions
• Global existence for nonlinear wave equations
• Global, small amplitude solutions to nonlinear evolution equations
• Periodic solutions of nonlinear hyperbolic partial differential equations. II
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