Applications of Cutoff Resolvent Estimates to the Wave Equation
classification
🧮 math.AP
keywords
equationwaveadmitsapplicationsboundaryconsidercutoffdecay
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We consider solutions to the linear wave equation on non-compact Riemannian manifolds without boundary when the geodesic flow admits a filamentary hyperbolic trapped set. We obtain a polynomial rate of local energy decay with exponent depending only on the dimension.
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