Concentration Of Laplace Eigenfunctions And Stabilization Of Weakly Damped Wave Equation
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🧮 math.AP
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concentrationdampedlaplacewaveweaklyarticleboundscompact
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- 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{\'e}sum{\'e}.
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