Homogenization of monotone systems of Hamilton-Jacobi equations

Details Homogenization of monotone systems of Hamilton-Jacobi equations Homogenization of monotone systems of Hamilton-Jacobi equations

2008-02-07

arxiv.org/abs/0802.0932v1

ESAIM: Control, Optimisation and Calculus of Variations 16 (2010) 58-76

Mathematics

Analysis of PDEs

Scientific paper

10.1051/cocv:2008061

In this paper we study homogenization for a class of monotone systems of
first-order time-dependent periodic Hamilton-Jacobi equations. We characterize
the Hamiltonians of the limit problem by appropriate cell problems. Hence we
show the uniform convergence of the solution of the oscillating systems to the
bounded uniformly continuous solution of the homogenized system.

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