Fast energy decay for wave equation with a monotone potential and an effective damping
Analysis of PDEs
2023-05-23 v1
Abstract
We consider the total energy decay of the Cauchy problem for wave equations with a potential and an effective damping. We treat it in the whole one-dimensional Euclidean space. Fast energy decay is established with the help of potential. The proofs of main results rely on a multiplier method and modified techniques adopted in [8].
Keywords
Cite
@article{arxiv.2305.12666,
title = {Fast energy decay for wave equation with a monotone potential and an effective damping},
author = {Xiaoyan Li and Ryo Ikehata},
journal= {arXiv preprint arXiv:2305.12666},
year = {2023}
}
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13 pages