Proves quantitative homogenization rates for convex first-order Hamilton-Jacobi equations in the Wasserstein space, with O(sqrt(epsilon)) in general and sharp O(epsilon) in special cases.
Quantitative homogenization of Hamilton–Jacobi equations on perforated domains with Dirichlet boundary conditions, Oct
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Sharp O(ε log(1/ε)) global and O(ε) almost-everywhere convergence rates are established for periodic homogenization of viscous quadratic Hamilton-Jacobi equations.
Under monotonicity, solutions to static contact Hamilton-Jacobi equations with periodicity ε converge uniformly at rate O(ε) to the solution of an effective homogenized equation identified via Mather measures.
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Quantitative homogenization of convex Hamilton-Jacobi equations in the Wasserstein space
Proves quantitative homogenization rates for convex first-order Hamilton-Jacobi equations in the Wasserstein space, with O(sqrt(epsilon)) in general and sharp O(epsilon) in special cases.
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Sharp global and almost everywhere convergence rates for periodic homogenization of viscous quadratic Hamilton-Jacobi equations
Sharp O(ε log(1/ε)) global and O(ε) almost-everywhere convergence rates are established for periodic homogenization of viscous quadratic Hamilton-Jacobi equations.
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Quantitative homogenization for static contact Hamilton-Jacobi equations
Under monotonicity, solutions to static contact Hamilton-Jacobi equations with periodicity ε converge uniformly at rate O(ε) to the solution of an effective homogenized equation identified via Mather measures.