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math.APDec 1, 2015
42
citations (OpenAlex)
authors
  • Bruno Ziliotto
institutions
  • Centre de Recherche en Mathématiques de la Décision
  • Université Paris Dauphine-PSL
  • Université Paris Sciences et Lettres
arXiv abstractPDF
paper

Stochastic homogenization of nonconvex Hamilton-Jacobi equations: a counterexample

arXiv:1512.06375 · doi:10.1002/cpa.21674

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.

References in corpus (1)

  • Shortest spanning trees and a counterexample for random walks in random environments

Cited by in corpus (9)

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  • Homogenization of a class of one-dimensional nonconvex viscous Hamilton-Jacobi equations with random potential
  • Stochastic homogenization of certain nonconvex Hamilton-Jacobi equations
  • Stochastic homogenization for variational solutions of Hamilton-Jacobi equations
  • Stochastic homogenization and effective Hamiltonians of HJ equations in one space dimension: The double-well case
  • Weakly mixing smooth planar vector field without asymptotic directions
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