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H\'older regularity for non-variational porous media type equations
- Publication Year :
- 2021
-
Abstract
- We present a Krylov-Safonov theory approach for the H\"older regularity of viscosity solutions to non-variational porous media type equations. We explore the peculiarity of this type of problem: either the equation falls in a uniformly elliptic regime or the eikonal mechanism takes care of the regularity. Our techniques are based on sliding paraboloids resulting in an ABP-type measure estimate. By combining such estimates, a diminishing of oscillation property is available, resulting in a regularity control in H\"older spaces.
- Subjects :
- Mathematics - Analysis of PDEs
35B45, 35K55, 35K65, 76S05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2108.00464
- Document Type :
- Working Paper