Linear Parabolic Equations with Strong Boundary Degeneration
Analysis of PDEs
2020-07-24 v1 Differential Geometry
Abstract
As an application of the theory of linear parabolic differential equations on noncompact Riemannian manifolds, developed in earlier papers, we prove a maximal regularity theorem for nonuniformly parabolic boundary value problems in Euclidean spaces. The new feature of our result is the fact that, besides of obtaining an optimal solution theory, we consider the `natural' case where the degeneration occurs only in the normal direction.
Keywords
Cite
@article{arxiv.2002.03313,
title = {Linear Parabolic Equations with Strong Boundary Degeneration},
author = {Herbert Amann},
journal= {arXiv preprint arXiv:2002.03313},
year = {2020}
}
Comments
21 pages