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Geometric tangential analysis and sharp regularity for degenerate pdes
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Type: Preprint
National /International: International
Title: Geometric tangential analysis and sharp regularity for degenerate pdes
Publication Date: 2018-09-20
Authors: - Eduardo V. Teixeira
- José Miguel Urbano
Abstract: We provide a broad overview on qualitative versus quantitative regularity estimates in the theory of degenerate parabolic pdes. The former relates to DiBenedetto's revolutionary method of intrinsic scaling, while the latter is achieved by means of what has been termed geometric tangential analysis. We discuss, in particular, sharp estimates for the parabolic p−Poisson equation, for the porous medium equation and for the doubly nonlinear equation.
Institution: DMUC 18-37
Online version: http://www.mat.uc.pt...prints/eng_2018.html
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