Concentration Of Laplace Eigenfunctions And Stabilization Of Weakly Damped Wave Equation
Analysis of PDEs
2016-03-23 v1
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{\'e}sum{\'e}.
Keywords
Cite
@article{arxiv.1503.02058,
title = {Concentration Of Laplace Eigenfunctions And Stabilization Of Weakly Damped Wave Equation},
author = {N. Burq and Claude Zuily},
journal= {arXiv preprint arXiv:1503.02058},
year = {2016}
}