On $L^p-L^{p'}$ estimates for a class of strongly damped wave equations
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911965685743616 |
|---|---|
| author | Mohamad, Haidar |
| author_facet | Mohamad, Haidar |
| contents | The purpose of this paper is to obtain a fundamental $L^p-L^{p'}$ estimate for a class of a strongly damped wave equations where the damping operator is given by $-δΔ$ with $δ\geq 0$ and the constant in the estimate is independent of the damping parameter $δ.$ The method used here is based on an estimate of the semigroup associated to the linear equation on the Besov spaces and their elementary properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17179 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On $L^p-L^{p'}$ estimates for a class of strongly damped wave equations Mohamad, Haidar Analysis of PDEs 35L05, 35L71, 35A99, 35B40 The purpose of this paper is to obtain a fundamental $L^p-L^{p'}$ estimate for a class of a strongly damped wave equations where the damping operator is given by $-δΔ$ with $δ\geq 0$ and the constant in the estimate is independent of the damping parameter $δ.$ The method used here is based on an estimate of the semigroup associated to the linear equation on the Besov spaces and their elementary properties. |
| title | On $L^p-L^{p'}$ estimates for a class of strongly damped wave equations |
| topic | Analysis of PDEs 35L05, 35L71, 35A99, 35B40 |
| url | https://arxiv.org/abs/2407.17179 |