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arXiv · 1503.02058

Concentration Of Laplace Eigenfunctions And Stabilization Of Weakly Damped Wave Equation

N. Burq·Claude Zuily
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Abstract

- In this article, we prove some universal bounds on the speed of concentration on small (frequency-dependent) neighborhoods of submanifolds of L 2-norms of quasi modes for Laplace operators on compact manifolds. We deduce new results on the rate of decay of weakly damped wave equations. R{é}sum{é}.

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N. Burq, Claude Zuily. 2015-03-06. Concentration Of Laplace Eigenfunctions And Stabilization Of Weakly Damped Wave Equation. https://doi.org/10.1007/s00220-016-2591-1

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