A game-theoretic approach to dynamic boundary problems for level-set curvature flow equations and applications
نویسندگان
چکیده
Abstract This paper is devoted to a game-theoretic approach the level-set curvature flow equation with nonlinear dynamic boundary conditions. Under comparison principle for problem, we construct family of deterministic discrete games, whose value functions approximate unique viscosity solution. We also apply game approximation study convexity preserving properties and fattening phenomenon this geometric problem.
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ژورنال
عنوان ژورنال: Partial Differential Equations And Applications
سال: 2021
ISSN: ['2662-2971', '2662-2963']
DOI: https://doi.org/10.1007/s42985-021-00076-w