Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions

@inproceedings{Armstrong2015StochasticHO,
  title={Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions},
  author={Scott E Armstrong and Pierre Cardaliaguet},
  year={2015}
}
We study random homogenization of second-order, degenerate and quasilinear Hamilton-Jacobi equations which are positively homogeneous in the gradient. Included are the equations of forced mean curvature motion and others describing geometric motions of level sets as well as a large class of viscous, non-convex Hamilton-Jacobi equations. The main results include the first proof of qualitative stochastic homogenization for such equations. We also present quantitative error estimates which give an… CONTINUE READING

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