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arXiv · 1403.2418

Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems

Herbert Amann
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Abstract

In this work there is established an optimal existence and regularity theory for second order linear parabolic differential equations on a large class of noncompact Riemannian manifolds. Then it is shown that it provides a general unifying approach to problems with strong degeneracies in the interior or at the boundary.

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Herbert Amann. 2014-03-10. Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems. https://arxiv.org/abs/1403.2418

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