Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609430 | Journal of Differential Equations | 2016 | 48 Pages |
Abstract
We study the diffusion phenomena for damped wave equations. We prove that the solution of an abstract damped wave equation becomes closer to the solution of a heat type equation as time tends to infinity under some assumption to the resolvent. As an application of our approach, we also study the asymptotic behavior of the damped wave equation in Euclidean space under the geometric control condition.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hisashi Nishiyama,