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arXiv · 1512.06375

Stochastic homogenization of nonconvex Hamilton-Jacobi equations: a counterexample

Bruno Ziliotto
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Abstract

We provide an example of a Hamilton-Jacobi equation in which stochastic homogenization does not occur. The Hamiltonian involved in this example satisfies the standard assumptions of the literature, except that it is not convex.

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Bruno Ziliotto. 2016-09-07. Stochastic homogenization of nonconvex Hamilton-Jacobi equations: a counterexample. https://doi.org/10.1002/cpa.21674

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