Hölder regularity for the linearized porous medium equation in bounded domains
arxiv(2023)
摘要
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.
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关键词
porous medium equation,regularity
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