L2-Homogenization of Heat Equations on Tubular Neighborhoods

Simple item page
dc.creatorWittich, O.
dc.date2008-10-28
dc.date.accessioned2026-07-07T10:13:39Z
dc.date.available2026-07-07T10:13:39Z
dc.descriptionWe consider the heat equation with Dirichlet boundary conditions on the tubular neighborhood of a closed Riemannian submanifold. We show that, as the tube radius decreases, the semigroup of a suitably rescaled and renormalized generator can be effectively described by a Hamiltonian on the submanifold with a potential that depends on the geometry of the submanifold and of the embedding.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/0810.5047
dc.identifierhttp://arxiv.org/abs/0810.5047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172605
dc.subjectAnalysis of PDEs
dc.subjectProbability
dc.subject35K05 (Primary); 74Q10 (Secondary)
dc.titleL2-Homogenization of Heat Equations on Tubular Neighborhoods
dc.typetext

Files

Collections

arXiv