2 papers
math.AP2019
Sharp polynomial decay rates for the damped wave equation with Hölder-like damping
Kiril Datchev, 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…
math.AP2018
Stabilization rates for the damped wave equation with Hölder-regular damping
Perry Kleinhenz
We study the decay rate of the energy of solutions to the damped wave equation in a setup where the geometric control condition is violated. We consider damping coefficients which…