Smooth Homogenization of Heat Equations on Tubular Neighborhoods
نویسنده
چکیده
We consider the heat equation with Dirichlet boundary conditions on the tubular neighborhood of a closed Riemannian submanifold of a Riemannian manifold. 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.
منابع مشابه
L-Homogenization of Heat Equations on Tubular Neighborhoods
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