Homogenization of stochastic Hamilton-Jacobi equations: brief review of methods and applications

Stochastic Analysis and Partial Differential Equations - Contemporary Mathematics ◽

10.1090/conm/429/08237 ◽

2007 ◽

pp. 189-204 ◽

Cited By ~ 5

Author(s):

Elena Kosygina

Keyword(s):

Jacobi Equations

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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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Non-local Discrete $$\infty $$ ∞ -Poisson and Hamilton Jacobi Equations

Journal of Mathematical Imaging and Vision ◽

10.1007/s10851-015-0592-x ◽

2015 ◽

Vol 55 (2) ◽

pp. 229-241 ◽

Cited By ~ 3

Author(s):

Matthieu Toutain ◽

Abderrahim Elmoataz ◽

François Lozes ◽

Alamin Mansouri

Keyword(s):

Non Local ◽

Jacobi Equations

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Hamilton-Jacobi equations in infinite dimensions. II. Existence of viscosity solutions

Journal of Functional Analysis ◽

10.1016/0022-1236(86)90026-1 ◽

1986 ◽

Vol 65 (3) ◽

pp. 368-405 ◽

Cited By ~ 89

Author(s):

Michael G Crandall ◽

Pierre-Louis Lions

Keyword(s):

Viscosity Solutions ◽

Infinite Dimensions ◽

Jacobi Equations

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Symmetry and separation of variables in Hamilton-Jacobi equations. II

Soviet Physics Journal ◽

10.1007/bf00894560 ◽

1978 ◽

Vol 21 (9) ◽

pp. 1130-1132 ◽

Cited By ~ 1

Author(s):

V. N. Shapovalov

Keyword(s):

Separation Of Variables ◽

Jacobi Equations

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Jacobi equations on minimal homogeneous submanifolds in homogeneous riemannian spaces

Functional Analysis and Its Applications ◽

10.1007/bf01077705 ◽

1990 ◽

Vol 24 (2) ◽

pp. 125-135 ◽

Cited By ~ 1

Author(s):

Van Le Khong

Keyword(s):

Homogeneous Submanifolds ◽

Jacobi Equations ◽

Riemannian Spaces

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Comparison principle for dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations

Applied Mathematics & Optimization ◽

10.1007/bf01445155 ◽

1990 ◽

Vol 21 (1) ◽

pp. 21-44 ◽

Cited By ~ 35

Author(s):

G. Barles ◽

B. Perthame

Keyword(s):

Comparison Principle ◽

Singular Perturbations ◽

Elliptic Equations ◽

Dirichlet Type ◽

Jacobi Equations

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