Calculus of Variations and Geometric Measure Theory
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M. Bardi - A. Cesaroni - E. Topp

Periodic homogenization of nonlocal Hamilton-Jacobi equations with coercive gradietn terms

created by cesaroni on 16 Jun 2018
modified by bardi on 18 Jun 2018

[BibTeX]

Submitted Paper

Inserted: 16 jun 2018
Last Updated: 18 jun 2018

Year: 2018

ArXiv: 1806.05930 PDF

Abstract:

This paper deals with the periodic homogenization of nonlocal parabolic Hamilton-Jacobi equations with superlinear growth in the gradient terms. We show that the problem presents different features depending on the order of the nonlocal operator, giving rise to three different limit problems.

Keywords: Homogenization, Viscosity solutions, Hamilton-Jacobi equations, integro-differential equations, fractional Laplacians


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