By Perry Kleinhenz and Ruoyu P. T. Wang

We study energy decay rates for the damped wave equation with unbounded damping, without the geometric control condition. Our main decay result is sharp polynomial energy decay for polynomially controlled singular damping on the torus. We also prove that for normally *L^p*-damping on compact manifolds, the Schr\"odinger observability gives *p*-dependent... Show more

April 5, 2023

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Sharp polynomial decay for polynomially singular damping on the torus

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