Global existence and the asymptotic behavior for systems of nonlinear wave equations violating the null condition

Katayama, Soichiro

doi:10.2969/aspm/08510215

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

Chapter Author(s) Soichiro Katayama

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

Adv. Stud. Pure Math., 2020: 215-225 (2020) DOI: 10.2969/aspm/08510215

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.

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Published: 1 January 2020

First available in Project Euclid: 29 December 2020

Digital Object Identifier: 10.2969/aspm/08510215

Subjects:

Primary: 35L72

Keywords: null condition , wave equation , weak null condition

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