Quantum ergodicity of boundary values of eigenfunctions: A control theory approach

Simple item page
dc.creatorBurq, Nicolas
dc.date2003-01-30
dc.date.accessioned2026-07-07T04:54:46Z
dc.date.available2026-07-07T04:54:46Z
dc.descriptionConsider $M$, a bounded domain in ${\mathbb R}^d$, which is a Riemanian manifold with piecewise smooth boundary and suppose that the billiard associated to the geodesic flow reflecting on the boundary acording to the laws of geometric optics is ergodic. We prove that the boundary value of the eigenfunctions of the Laplace operator with reasonable boundary conditions are asymptotically equidistributed in the boundary, extending previous results by Gérard, Leichtnam \cite{GeLe93-1} and Hassel, Zelditch \cite{HaZe02} obtained under the additional assumption of the convexity of $M$.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0301349
dc.identifierhttp://arxiv.org/abs/math/0301349
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66387
dc.subjectAnalysis of PDEs
dc.subjectSpectral Theory
dc.subject58J50; 58J40; 35P99; 81S10
dc.titleQuantum ergodicity of boundary values of eigenfunctions: A control theory approach
dc.typetext

Files

Collections

arXiv