Second order asymptotic expansion for wave equations with time-dependent dissipation in one-space dimension

Wakasugi, Yuta

doi:10.2969/aspm/08110401

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

Adv. Stud. Pure Math., 2019: 401-419 (2019) DOI: 10.2969/aspm/08110401

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.