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arXiv · 2412.06428

Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems

Hiroyoshi Mitake·Panrui Ni
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Abstract

Here, we study the periodic homogenization problem of nonlinear weakly coupled systems of Hamilton-Jacobi equations in the convex setting. We establish a rate of convergence $O(\sqrt{\varepsilon})$ which is sharp.

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Hiroyoshi Mitake, Panrui Ni. 2024-12-09. Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems. https://arxiv.org/abs/2412.06428

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