Geometric tangential analysis and sharp regularity for degenerate pdes
Analysis of PDEs
2019-01-31 v1
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.
Cite
@article{arxiv.1901.10941,
title = {Geometric tangential analysis and sharp regularity for degenerate pdes},
author = {Eduardo V. Teixeira and José Miguel Urbano},
journal= {arXiv preprint arXiv:1901.10941},
year = {2019}
}