L-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 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.
منابع مشابه
Smooth Homogenization of Heat Equations on Tubular Neighborhoods
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