Sharp Convergence Rates for Viscous Hamilton-Jacobi Homogenization
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Statement
Sharp global and almost-everywhere convergence rates for periodic homogenization of viscous quadratic Hamilton-Jacobi equations, settling the sharpness question left open by the first-order theory.
Context
The optimal-rate question for viscous Hamilton-Jacobi homogenization is a documented target of that community, with the first-order case settled earlier.
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"Lemma 3.5 in the proof of Theorem 1.2 was supplied by ChatGPT, and verified carefully by the authors"; the model also "helped us find an argument to remove the assumption" in a key regularity step.
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