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

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 xβx^{\beta} near the boundary of the support and show decay at rate 1/tβ+2β+31/t^{\frac{\beta+2}{\beta+3}}. In the case where WW... 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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