On $L^p-L^{p'}$ estimates for a class of strongly damped wave equations
| Autor: | Mohamad, Haidar |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 $-\delta \Delta$ with $\delta \geq 0$ and the constant in the estimate is independent of the damping parameter $\delta.$ 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. |
| Databáze: | arXiv |
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