Smooth Homogenization of Heat Equations on Tubular Neighborhoods

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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 diameter tends to zero, a suitably rescaled and renormalized semigroup converges to a limit semigroup in Sobolev spaces of arbitrarily large Sobolev index.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0810.5052
dc.identifierhttp://arxiv.org/abs/0810.5052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172606
dc.subjectAnalysis of PDEs
dc.subjectProbability
dc.subject35K05 (Primary); 74Q10 (Secondary)
dc.titleSmooth Homogenization of Heat Equations on Tubular Neighborhoods
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