Journal
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Volume 40, Issue 3, Pages 540-600Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03605302.2014.971372
Keywords
35F21; 60K35; 35B27; Stochastic homogenization; Convergence rate; Viscous Hamilton-Jacobi equation; First-passage percolation; Error estimate
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Funding
- ANR (Agence Nationale de la Recherche) through HJnet project [ANR-12-BS01-0008-01]
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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.
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