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Pré-Publication, Document De Travail Année : 2016

Stochastic homogenization of non-local Hamilton-Jacobi equations

Résumé

We study the homogenization of non-local Hamilton-Jacobi equations in stationary ergodic settings. These equations can be seen as a level-set approach of front propagation problems that move in the normal direction with non-local velocities. We first identify the effective Hamiltonian and an approximate corrector by studying the associated metric problem. Then, we prove the main homogenization result by means of a non-local version of the perturbed test function method.
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Dates et versions

hal-01300238 , version 1 (09-04-2016)

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  • HAL Id : hal-01300238 , version 1

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Ahmed Hajej. Stochastic homogenization of non-local Hamilton-Jacobi equations. 2016. ⟨hal-01300238⟩
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