# Homogenization of monotone systems of Hamilton-Jacobi equations

Fabio Camilli; Olivier Ley; Paola Loreti

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 16, Issue: 1, page 58-76
- ISSN: 1292-8119

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topCamilli, Fabio, Ley, Olivier, and Loreti, Paola. "Homogenization of monotone systems of Hamilton-Jacobi equations." ESAIM: Control, Optimisation and Calculus of Variations 16.1 (2010): 58-76. <http://eudml.org/doc/250720>.

@article{Camilli2010,

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.
},

author = {Camilli, Fabio, Ley, Olivier, Loreti, Paola},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Systems of Hamilton-Jacobi equations; viscosity solutions; homogenization; Hamilton-Jacobi equations; monotone systems},

language = {eng},

month = {1},

number = {1},

pages = {58-76},

publisher = {EDP Sciences},

title = {Homogenization of monotone systems of Hamilton-Jacobi equations},

url = {http://eudml.org/doc/250720},

volume = {16},

year = {2010},

}

TY - JOUR

AU - Camilli, Fabio

AU - Ley, Olivier

AU - Loreti, Paola

TI - Homogenization of monotone systems of Hamilton-Jacobi equations

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/1//

PB - EDP Sciences

VL - 16

IS - 1

SP - 58

EP - 76

AB -
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.

LA - eng

KW - Systems of Hamilton-Jacobi equations; viscosity solutions; homogenization; Hamilton-Jacobi equations; monotone systems

UR - http://eudml.org/doc/250720

ER -

## References

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