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arXiv · 2106.12636

Homogenization of the G-Equation: a metric approach

Antonio Siconolfi
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Abstract

The aim of the paper is to recover some results of Cardaliaguet-Nolen-Souganidis in \cite{CNS} and Xin-Yu in \cite{XY} about the homogenization of the G--equation, using different and simpler techniques. The main mathematical issue is the lack of coercivity of the Hamiltonians. In our approach we consider a multivalued dynamics without periodic invariants sets, a family of intrinsic distances and perform an approximation by a sequence of coercive Hamiltonians.

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Antonio Siconolfi. 2021-06-23. Homogenization of the G-Equation: a metric approach. https://arxiv.org/abs/2106.12636

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