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math.AP2022★ 1 cited
Sharp polynomial decay for polynomially singular damping on the torus
Perry Kleinhenz, 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…
math.AP2022★ 1 cited
Energy decay for the time dependent damped wave equation
Perry Kleinhenz
Energy decay is established for the damped wave equation on compact Riemannian manifolds where the damping coefficient is allowed to depend on time. Using a time dependent observab…