Homogenization of the G-Equation: a metric approach
Analysis of PDEs
2021-06-25 v1
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.
Keywords
Cite
@article{arxiv.2106.12636,
title = {Homogenization of the G-Equation: a metric approach},
author = {Antonio Siconolfi},
journal= {arXiv preprint arXiv:2106.12636},
year = {2021}
}