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arXiv · 0709.0555

Applications of Cutoff Resolvent Estimates to the Wave Equation

Hans Christianson
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Abstract

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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Hans Christianson. 2007-11-19. Applications of Cutoff Resolvent Estimates to the Wave Equation. https://arxiv.org/abs/0709.0555

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