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Homogenization of the G-equation: a metric approach

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  • Antonio Siconolfi

    (Università degli Studi di Roma “La Sapienza”)

Abstract

The aim of the paper is to recover some results of Cardaliaguet–Nolen–Souganidis in Cardaliaguet et al. (Arch Rat Mech Anal 199(2): 527–561, 2011) and Xin–Yu in Xin and Yu (Commun Math Sci 8(4): 1067–1078, 2010) 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.

Suggested Citation

  • Antonio Siconolfi, 2021. "Homogenization of the G-equation: a metric approach," Partial Differential Equations and Applications, Springer, vol. 2(4), pages 1-18, August.
    • Handle: RePEc:spr:pardea:v:2:y:2021:i:4:d:10.1007_s42985-021-00097-5
    DOI: 10.1007/s42985-021-00097-5
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