TY - JOUR
T1 - Hölder Regularity for the Linearized Porous Medium Equation in Bounded Domains
AU - Jin , Tianling
AU - Xiong , Jingang
JO - Analysis in Theory and Applications
VL - 2
SP - 111
EP - 171
PY - 2024
DA - 2024/07
SN - 40
DO - http://doi.org/10.4208/ata.OA-2023-0015
UR - https://global-sci.org/intro/article_detail/ata/23232.html
KW - Singular parabolic equations, degenerate parabolic equations, regularity, porous medium equations.
AB - <p style="text-align: justify;">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.</p>