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arXiv:0810.5052 [math.AP]AbstractReferencesReviewsResources

Smooth Homogenization of Heat Equations on Tubular Neighborhoods

O. Wittich

Published 2008-10-28Version 1

We 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.

Comments: 30 pages
Categories: math.AP, math.PR
Subjects: 35K05, 74Q10
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