Asymptotic profile of solutions for some wave equations with very strong structural damping
Analysis of PDEs
2018-08-15 v1
Abstract
We consider the Cauchy problem in R^n for some types of damped wave equations. We derive asymptotic profiles of solutions with weighted L^{1,1}(R^n) initial data by employing a simple method introduced by the first author. The obtained results will include regularity loss type estimates, which are essentially new in this kind of equations.
Keywords
Cite
@article{arxiv.1706.07174,
title = {Asymptotic profile of solutions for some wave equations with very strong structural damping},
author = {Ryo Ikehata and Shin Iyota},
journal= {arXiv preprint arXiv:1706.07174},
year = {2018}
}
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20 pages