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- W4287322413 abstract "We study the existence and uniqueness of mild and strong solutions of nonlocal nonlinear diffusion problems of $p$-Laplacian type with nonlinear boundary conditions posed in metric random walk spaces. These spaces include, among others, weighted discrete graphs and $mathbb{R}^N$ with a random walk induced by a nonsingular kernel. We also study the case of nonlinear dynamical boundary conditions. The generality of the nonlinearities considered allow us to cover the nonlocal counterparts of a large scope of local diffusion problems: Stefan problems, Hele-Shaw problems, diffusion in porous media problems, obstacle problems, and more. Nonlinear semigroup theory is the basis for this study." @default.
- W4287322413 created "2022-07-25" @default.
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- W4287322413 date "2021-02-27" @default.
- W4287322413 modified "2023-09-26" @default.
- W4287322413 title "Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions" @default.
- W4287322413 doi "https://doi.org/10.48550/arxiv.2103.00340" @default.
- W4287322413 hasPublicationYear "2021" @default.
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