On L^p-L^p' estimates for a class of strongly damped wave equations

2024/07/24 by Mohamad, Haidar
#35A99 #35B40 #35L05 #35L71 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.17179

Abstract

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≥ 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.

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