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A Deterministic Game-Theoretic Approach to Convexity-Preserving Property and Finite-Time Extinction of Level Sets for Geometric Equations

Year: 2026

Type: preprint

Abstract: We consider the convexity-preserving property and finite-time extinction of level sets for quasilinear geometric equations using a game-theoretic approach introduced by Kohn and Serfaty. To construct the game whose value function approximates the viscosity solution, we use the approach introduced by Sato.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.34671

Authors: Saga, Yousuke, Takimoto, Kazuhiro

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7223973877

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