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VOL. 85 | 2020 Global existence and the asymptotic behavior for systems of nonlinear wave equations violating the null condition
Soichiro Katayama

Editor(s) Yoshikazu Giga, Nao Hamamuki, Hideo Kubo, Hirotoshi Kuroda, Tohru Ozawa

Abstract

We consider the Cauchy problem for systems of quasi-linear wave equations in two and three space dimensions. We investigate the small data global existence and the asymptotic behavior of solutions under a condition in between the standard and weak null conditions.

Information

Published: 1 January 2020
First available in Project Euclid: 29 December 2020

Digital Object Identifier: 10.2969/aspm/08510215

Subjects:
Primary: 35L72

Rights: Copyright © 2020 Mathematical Society of Japan

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