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- W3204377588 abstract "In the present work we establish sharp regularity estimates for the solutions of the porous medium equation, along their zero level-sets. We work under a proximity regime on the exponent governing the nonlinearity of the problem. We prove that solutions are locally of class $${{cal C}^{1 - ,{1 over 2} - }}$$ along free boundary points x0 ∈ ∂{u > 0}. Our argument consists of importing information from the heat equation, through approximation and localization methods." @default.
- W3204377588 created "2021-10-11" @default.
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- W3204377588 date "2021-10-01" @default.
- W3204377588 modified "2023-09-26" @default.
- W3204377588 title "Improved regularity for the porous medium equation along zero level sets" @default.
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- W3204377588 doi "https://doi.org/10.1007/s11856-021-2208-z" @default.
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