Concentration Of Laplace Eigenfunctions And Stabilization Of Weakly Damped Wave Equation

Autor: Burq, N., Zuily, Claude
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/s00220-016-2591-1
Popis: - 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}.
Databáze: arXiv