Stochastic homogenization of HJ equations: a differential game approach - Groupe INSA
Pré-Publication, Document De Travail Année : 2024

Stochastic homogenization of HJ equations: a differential game approach

Résumé

We prove stochastic homogenization for a class of non-convex and non-coercive first-order Hamilton-Jacobi equations in a finite-range of dependence environment for Hamiltonians that can be expressed by a max-min formula. We make use of the representation of the solution as a value function of a differential game to implement a game-theoretic approach to the homogenization problem.
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Dates et versions

hal-04786300 , version 1 (15-11-2024)

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Andrea Davini, Raimundo Saona, Bruno Ziliotto. Stochastic homogenization of HJ equations: a differential game approach. 2024. ⟨hal-04786300⟩
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