2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173661This 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.To appear in Transactions of the AMSAnalysis of PDEs35L70; 53C21Asymptotic stability of the wave equation on compact surfaces and locally distributed damping - A sharp resulttext