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Optimal decay rate for the wave equation on a square with constant damping on a strip

Published 13 Jul 2016 in math-ph, math.AP, and math.MP | (1607.03633v2)

Abstract: We consider the damped wave equation with Dirichlet boundary conditions on the unit square. We assume the damping to be a characteristic function of a strip. We prove the exact $t{-4/3}$-decay rate for the energy of classical solutions. This answers a question of Anantharaman and L\'eautaud (2014).

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Authors (1)

  1. Reinhard Stahn 

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