By Kiril Datchev and Perry Kleinhenz

We study decay rates for the energy of solutions of the damped wave equation on the torus. We consider dampings invariant in one direction and bounded above and below by multiples of $x^{\beta}$ near the boundary of the support and show decay at rate $1/t^{\frac{\beta+2}{\beta+3}}$. In the case where $W$... Show more

September 6, 2019

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Sharp polynomial decay rates for the damped wave equation with Hölder-like damping

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