Asymptotic profile of solutions for strongly damped Klein-Gordon equations
Analysis of PDEs
2019-03-27 v1
Abstract
We consider the Cauchy problem in the whole space for strongly damped Klein-Gordon equations. We derive asymptotic profles of solutions with weighted initial data by a simple method introduced by R. Ikehata. The obtained results show that the wave effect will be weak because of the mass term, especially in the low dimensional case (n = 1,2) as compared with the strongly damped wave equations without mass term (m = 0), so the most interesting topic in this paper is the n = 1,2 cases.
Keywords
Cite
@article{arxiv.1805.11975,
title = {Asymptotic profile of solutions for strongly damped Klein-Gordon equations},
author = {Ryo Ikehata},
journal= {arXiv preprint arXiv:1805.11975},
year = {2019}
}
Comments
19 pages. arXiv admin note: text overlap with arXiv:1706.07174