no. 1
Homogenization of monotone systems of Hamilton-Jacobi equations
ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 1, pp. 58-76.

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.

DOI : 10.1051/cocv:2008061
Classification : 35B27, 49L25, 35K45
Mots clés : systems of Hamilton-Jacobi equations, viscosity solutions, homogenization 
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     author = {Camilli, Fabio and Ley, Olivier and Loreti, Paola},
     title = {Homogenization of monotone systems of {Hamilton-Jacobi} equations},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {58--76},
     publisher = {EDP-Sciences},
     volume = {16},
     number = {1},
     year = {2010},
     doi = {10.1051/cocv:2008061},
     mrnumber = {2598088},
     zbl = {1187.35008},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/cocv:2008061/}
}
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Camilli, Fabio; Ley, Olivier; Loreti, Paola. Homogenization of monotone systems of Hamilton-Jacobi equations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 16 (2010) no. 1, pp. 58-76. doi : 10.1051/cocv:2008061. http://archive.numdam.org/articles/10.1051/cocv:2008061/

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