Optimal leading term of solutions to wave equations with strong damping terms
Analysis of PDEs
2018-10-23 v1
Abstract
We analyze the asymptotic behavior of solutions to wave equations with strong damping terms. If the initial data belong to suitable weighted spaces, lower bounds for the difference between the solutions and the leading terms in the Fourier space are obtained, which implies the optimality of expanding methods and some estimates proposed in this paper.
Cite
@article{arxiv.1810.09114,
title = {Optimal leading term of solutions to wave equations with strong damping terms},
author = {Hironori Michihisa},
journal= {arXiv preprint arXiv:1810.09114},
year = {2018}
}
Comments
17 pages