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systems of hamilton-jacobi equations

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Homogenization of monotone systemsof Hamilton-Jacobi equations
Fabio Camilli, Olivier Ley, Paola Loreti
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 16 / Issue 1 / January 2010

Published online by Cambridge University Press:

21 October 2008, pp. 58-76

Print publication:

January 2010
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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 weshow the uniform convergence of the solution of the oscillating systems tothe boundeduniformly continuous solution of thehomogenized system.