Homogenization of monotone systems of Hamilton-Jacobi equations

Fabio Camilli; Olivier Ley; Paola Loreti

doi:10.1051/cocv:2008061

Homogenization of monotone systems of Hamilton-Jacobi equations

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2008061 ◽

2008 ◽

Vol 16 (1) ◽

pp. 58-76 ◽

Cited By ~ 10

Author(s):

Fabio Camilli ◽

Olivier Ley ◽

Paola Loreti

Keyword(s):

Monotone Systems ◽

Jacobi Equations

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The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. Part 1: linear coupling

Mathematics in Engineering ◽

10.3934/mine.2021032 ◽

2021 ◽

Vol 3 (4) ◽

pp. 1-21

Author(s):

Hitoshi Ishii ◽

◽

Keyword(s):

Monotone Systems ◽

Linear Coupling ◽

Jacobi Equations

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The vanishing discount problem for monotone systems of Hamilton–Jacobi equations: part 2—nonlinear coupling

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-020-01768-8 ◽

2020 ◽

Vol 59 (4) ◽

Author(s):

Hitoshi Ishii ◽

Liang Jin

Keyword(s):

Nonlinear Coupling ◽

Monotone Systems ◽

Jacobi Equations

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Stochastic Homogenization of Monotone Systems of Viscous Hamilton--Jacobi Equations with Convex Nonlinearities

SIAM Journal on Mathematical Analysis ◽

10.1137/12088001x ◽

2013 ◽

Vol 45 (4) ◽

pp. 2441-2476 ◽

Cited By ~ 2

Author(s):

Benjamin J. Fehrman

Keyword(s):

Stochastic Homogenization ◽

Monotone Systems ◽

Jacobi Equations

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Homogenization of Monotone Systems of Non-Coercive Hamilton-Jacobi Equations

Indian Journal of Pure and Applied Mathematics ◽

10.1007/s13226-018-0269-4 ◽

2018 ◽

Vol 49 (2) ◽

pp. 285-300

Author(s):

Junfang Wang ◽

Peihao Zhao

Keyword(s):

Monotone Systems ◽

Jacobi Equations

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Bayesian Assessment of Availabilities and Unavailabilities of Multistate Monotone Systems

Methodology And Computing In Applied Probability ◽

10.1007/s11009-011-9221-3 ◽

2011 ◽

Vol 14 (4) ◽

pp. 1075-1095 ◽

Cited By ~ 2

Author(s):

Bent Natvig ◽

Jørund Inge Gåsemyr ◽

Trond Reitan

Keyword(s):

Monotone Systems

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Infinitesimal Isometries Along Curves and Generalized Jacobi Equations

Journal of Geometric Analysis ◽

10.1007/s12220-011-9250-8 ◽

2011 ◽

Vol 23 (1) ◽

pp. 377-394

Author(s):

R. L. Foote ◽

C. K. Han ◽

J. W. Oh

Keyword(s):

Jacobi Equations

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Some counterexamples on the asymptotic behavior of the solutions of Hamilton–Jacobi equations

Comptes Rendus de l Académie des Sciences - Series I - Mathematics ◽

10.1016/s0764-4442(00)00314-1 ◽

2000 ◽

Vol 330 (11) ◽

pp. 963-968 ◽

Cited By ~ 16

Author(s):

Guy Barles ◽

Panagiotis E. Souganidis

Keyword(s):

Asymptotic Behavior ◽

Jacobi Equations

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Convergence of Viscosity Solutions of Generalized Contact Hamilton–Jacobi Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-021-01667-y ◽

2021 ◽

Author(s):

Ya-Nan Wang ◽

Jun Yan ◽

Jianlu Zhang

Keyword(s):

Viscosity Solutions ◽

Jacobi Equations

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Long-time asymptotic solutions of convex Hamilton-Jacobi equations with Neumann type boundary conditions

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-010-0385-4 ◽

2010 ◽

Vol 42 (1-2) ◽

pp. 189-209 ◽

Cited By ~ 11

Author(s):

Hitoshi Ishii

Keyword(s):

Boundary Conditions ◽

Asymptotic Solutions ◽

Long Time ◽

Neumann Type ◽

Type Boundary ◽

Jacobi Equations

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Criticality of viscous Hamilton–Jacobi equations and stochastic ergodic control

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2013.01.005 ◽

2013 ◽

Vol 100 (3) ◽

pp. 368-390 ◽

Cited By ~ 8

Author(s):

Naoyuki Ichihara

Keyword(s):

Ergodic Control ◽

Jacobi Equations

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