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