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arXiv · 2610.34671

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

Yousuke Saga·Kazuhiro Takimoto
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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.

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Yousuke Saga, Kazuhiro Takimoto. 2026-10-26. A Deterministic Game-Theoretic Approach to Convexity-Preserving Property and Finite-Time Extinction of Level Sets for Geometric Equations. https://arxiv.org/abs/2610.34671

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