Year: 2024
Author: Tianling Jin, Jingang Xiong
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 2 : pp. 111–171
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 Hölder regularity of their weak solutions.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2023-0015
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 2 : pp. 111–171
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 61
Keywords: Singular parabolic equations degenerate parabolic equations regularity porous medium equations.