Open Access
VOL. 64 | 2015 Diffusion phenomenon of solutions to the Cauchy problem for the damped wave equation
Kenji Nishihara

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Adv. Stud. Pure Math., 2015: 125-136 (2015) DOI: 10.2969/aspm/06410125

Abstract

We survey the recent results for the damped wave equations and obtain the critical exponent for the semilinear problem. Those results are based on the diffusion phenomenon of the damped wave equation.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1347.35172
MathSciNet: MR3381197

Digital Object Identifier: 10.2969/aspm/06410125

Subjects:
Primary: 35B33 , 35B40 , 35L71

Keywords: asymptotic behavior , damped wave equation , Diffusion phenomenon

Rights: Copyright © 2015 Mathematical Society of Japan

PROCEEDINGS ARTICLE
12 PAGES


Back to Top