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arXiv · 1909.11067

Effective fronts of polytope shapes

Wenjia Jing·Hung Vinh Tran·Yifeng Yu
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Abstract

We study the periodic homogenization of first order front propagations. Based on PDE methods, we provide a simple proof that for $n \geq 3$, the class of centrally symmetric polytopes with rational coordinates and nonempty interior is admissible as effective fronts, which was also established in [1,10] in the form of stable norms as an extension of Hedlund's classical result [7]. Besides, we obtain the optimal convergence rate of the homogenization problem for this class.

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Wenjia Jing, Hung Vinh Tran, Yifeng Yu. 2019-09-24. Effective fronts of polytope shapes. https://arxiv.org/abs/1909.11067

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