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 are *0* on a strip and vanish like polynomials, *x^{\beta}*. We prove that the semigroup cannot be stable at rate... Show more

June 11, 2018

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Stabilization rates for the damped wave equation with Hölder-regular damping

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