By Blake Keeler and Perry Kleinhenz

In this article, we study energy decay of the damped wave equation on compact Riemannian manifolds where the damping coefficient is anisotropic and modeled by a pseudodifferential operator of order zero. We prove that the energy of solutions decays at an exponential rate if and only if the damping coefficient... Show more

March 21, 2022

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Sharp exponential decay rates for anisotropically damped waves

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