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Homogenization of monotone systems of Hamilton-Jacobi equations

Abstract : 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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Submitted on : Thursday, February 7, 2008 - 10:27:14 AM
Last modification on : Monday, July 6, 2020 - 3:38:05 PM
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Fabio Camilli, Olivier Ley, Paola Loreti. Homogenization of monotone systems of Hamilton-Jacobi equations. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2010, 16, pp.58-76. ⟨10.1051/cocv:2008061⟩. ⟨hal-00243980⟩

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