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VOL. 81 | 2019 Second order asymptotic expansion for wave equations with time-dependent dissipation in one-space dimension
Yuta Wakasugi

Editor(s) Keiichi Kato, Takayoshi Ogawa, Tohru Ozawa

Abstract

In this paper, we consider the Cauchy problem of the wave equation with time-dependent damping. We prove that if the damping is sufficiently strong, then the solution has the second order asymptotic expansion the same as the corresponding heat equation.

Information

Published: 1 January 2019
First available in Project Euclid: 31 October 2019

zbMATH: 07176830

Digital Object Identifier: 10.2969/aspm/08110401

Subjects:
Primary: 35B40, 35L15

Rights: Copyright © 2019 Mathematical Society of Japan

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