Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604435 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2010 | 55 Pages |
Abstract
This is the first part of a work aimed at establishing that for solutions to Cauchy–Dirichlet problems involving general non-linear systems of parabolic type, almost every parabolic boundary point is a Hölder continuity point for the spatial gradient of solutions. Here we develop the basic necessary and sufficient condition for establishing the regular nature of a boundary point.
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Physical Sciences and Engineering
Mathematics
Analysis