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On the random G equation with nonzero divergence

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Abstract

We prove a quantitative rate of homogenization for the G equation in a random setting with finite range of dependence and nonzero divergence, with explicit dependence of the constants on the Lipschitz norm of the environment. Inspired by work of Burago–Ivanov–Novikov, the proof uses explicit bounds on the waiting time for the associated metric problem.

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Acknowledgements

I would like to thank my advisor, Charles Smart, for suggesting the problem and for many helpful conversations.

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  1. Department of Mathematics, University of Chicago, Chicago, IL, USA

    William Cooperman

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  1. William Cooperman
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Correspondence to William Cooperman.

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Communicated by F.-H. Lin.

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Cooperman, W. On the random G equation with nonzero divergence. Calc. Var. 62, 211 (2023). https://doi.org/10.1007/s00526-023-02555-x

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  • DOI: https://doi.org/10.1007/s00526-023-02555-x

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