Energy decay for damped wave equations on partially rectangular domains

2006/01/09 by Nicolas Burq, Burq, Nicolas, Michael Hitrik +1 · 1 citation
Computer Science · Engineering · Mathematics · #35L05 #47A10 #47B44 #47D06 #49J20 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.math/0601195

openalex publication_date 2006/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the wave equation with a damping term on a partially rectangular planar domain, assuming that the damping is concentrated close to the non-rectangular part of the domain. Polynomial decay estimates for the energy of the solution are established.

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