Sharp energy decay rates are obtained for the damped wave equation on the torus for dampings satisfying non-polynomial derivative bounds, with rates depending on support geometry and interpolating between known polynomial cases via semiclassical resolvent estimates.
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Sharp energy decay rates for the damped wave equation on the torus via non-polynomial derivative bound conditions
Sharp energy decay rates are obtained for the damped wave equation on the torus for dampings satisfying non-polynomial derivative bounds, with rates depending on support geometry and interpolating between known polynomial cases via semiclassical resolvent estimates.