H\"older regularity for the linearized porous medium equation in bounded domains
Analysis of PDEs
2024-02-07 v3
Abstract
In this paper, we systematically study weak solutions of a linear singular or degenerate parabolic equation in a mixed divergence form and nondivergence form, which arises from the linearized fast diffusion equation and the linearized porous medium equation with the homogeneous Dirichlet boundary condition. We prove the H\"older regularity of their weak solutions.
Keywords
Cite
@article{arxiv.2303.00321,
title = {H\"older regularity for the linearized porous medium equation in bounded domains},
author = {Tianling Jin and Jingang Xiong},
journal= {arXiv preprint arXiv:2303.00321},
year = {2024}
}
Comments
53 pages. Final version, Anal. Theory Appl. to appear