Slow periodic homogenization for Hamilton-Jacobi equations

arxiv（2023）

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摘要

Capuzzo-Dolcetta and Ishii proved that the rate of periodic homogenization for coercive Hamilton-Jacobi equations is $O(\varepsilon^{1/3})$. We complement this result by constructing examples of coercive nonconvex Hamiltonians whose rate of periodic homogenization is $\Omega(\varepsilon^{1/2})$.

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关键词

slow periodic homogenization,hamilton–jacobi

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