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

2014/03/10 by Amann, Herbert
#35K20 #35K65 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Primary 58J35 #Secondary 53C20

paper · doi:10.48550/arxiv.1403.2418

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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