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VOL. 85 | 2020 Asymptotic behavior of the energy critical nonlinear wave equation with a special scale invariant damping
Takahisa Inui

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

Abstract

We are interested in the asymptotic behavior of the solution to the energy critical nonlinear wave equation with a special scale invariant damping. In the present paper, we show that a global solution to this equation goes to the solution to the linear wave equation with the scale invariant damping as time tends to infinity. We also discuss its time order.

Information

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

Digital Object Identifier: 10.2969/aspm/08510171

Subjects:
Primary: 35L70, 35P25

Rights: Copyright © 2020 Mathematical Society of Japan

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