English

Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension

Analysis of PDEs 2014-10-28 v1 Probability

Abstract

We prove stochastic homogenization for a general class of coercive, nonconvex Hamilton-Jacobi equations in one space dimension. Some properties of the effective Hamiltonian arising in the nonconvex case are also discussed.

Keywords

Cite

@article{arxiv.1410.7053,
  title  = {Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension},
  author = {S. N. Armstrong and H. V. Tran and Y. Yu},
  journal= {arXiv preprint arXiv:1410.7053},
  year   = {2014}
}

Comments

29 pages, 7 figures