Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations
arXiv:1312.7593
Abstract
We prove explicit estimates for the error in random homogenization of degenerate, second-order Hamilton-Jacobi equations, assuming the coefficients satisfy a finite range of dependence. In particular, we obtain an algebraic rate of convergence with overwhelming probability under certain structural conditions on the Hamiltonian.
54 pages