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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