Asymptotic stability of the wave equation on compact surfaces and locally distributed damping - A sharp result

2008/11/07 by Marcelo M. Cavalcanti, M. M. Cavalcanti, Cavalcanti, M. M. +8 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations #math.AP #msc:35L70 #msc:53C21

paper · pdf · doi:10.48550/arxiv.0811.1190

To appear in Transactions of the AMS

arxiv created 2008/11/07 · arxiv updated 2009/12/01

Abstract

This paper is concerned with the study of the wave equation on compact surfaces and locally distributed damping. We study the case where the damping is effective in a well-chosen subset of arbitrarily small measure.

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• The Quintic Wave Equation with Kelvin-Voigt Damping: Strichartz estimates, Well-posedness and Global Stabilization

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