Remarks on the large time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton–Jacobi equations

Asymptotic Analysis ◽

10.3233/asy-2011-1071 ◽

2012 ◽

Vol 77 (1-2) ◽

pp. 43-70 ◽

Author(s):

Hiroyoshi Mitake ◽

Hung V. Tran

Keyword(s):

Viscosity Solutions ◽

Large Time Behavior ◽

Coupled Systems ◽

Time Behavior ◽

Weakly Coupled ◽

Weakly Coupled Systems ◽

Jacobi Equations

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Some results on the large-time behavior of weakly coupled systems of first-order Hamilton–Jacobi equations

Journal of Evolution Equations ◽

10.1007/s00028-013-0214-2 ◽

2013 ◽

Vol 14 (2) ◽

pp. 299-331 ◽

Author(s):

Vinh Duc Nguyen

Keyword(s):

Large Time Behavior ◽

Coupled Systems ◽

Time Behavior ◽

First Order ◽

Weakly Coupled ◽

Weakly Coupled Systems ◽

Jacobi Equations

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A dynamical approach to the large-time behavior of solutions to weakly coupled systems of Hamilton–Jacobi equations

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2013.05.004 ◽

2014 ◽

Vol 101 (1) ◽

pp. 76-93 ◽

Author(s):

H. Mitake ◽

H.V. Tran

Keyword(s):

Large Time Behavior ◽

Coupled Systems ◽

Time Behavior ◽

Dynamical Approach ◽

Weakly Coupled ◽

Weakly Coupled Systems ◽

Jacobi Equations

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Large time behavior of weakly coupled systems of first-order Hamilton–Jacobi equations

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-011-0149-7 ◽

2012 ◽

Vol 19 (6) ◽

pp. 719-749 ◽

Author(s):

Fabio Camilli ◽

Olivier Ley ◽

Paola Loreti ◽

Vinh Duc Nguyen

Keyword(s):

Large Time Behavior ◽

Coupled Systems ◽

Time Behavior ◽

First Order ◽

Weakly Coupled ◽

Weakly Coupled Systems ◽

Jacobi Equations

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A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton–Jacobi Equations

Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications - Lecture Notes in Mathematics ◽

10.1007/978-3-642-36433-4_3 ◽

2013 ◽

pp. 111-249 ◽

Author(s):

Hitoshi Ishii

Keyword(s):

Viscosity Solutions ◽

Large Time Behavior ◽

Time Behavior ◽

Short Introduction ◽

Jacobi Equations

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Viscosity Solutions for Weakly Coupled Systems of Hamilton-Jacobi Equations

Proceedings of the London Mathematical Society ◽

10.1112/plms/s3-63.1.212 ◽

1991 ◽

Vol s3-63 (1) ◽

pp. 212-240 ◽

Author(s):

Hans Engler ◽

Suzanne M. Lenhart

Keyword(s):

Viscosity Solutions ◽

Coupled Systems ◽

Weakly Coupled ◽

Weakly Coupled Systems ◽

Jacobi Equations

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Stability properties and large time behavior of viscosity solutions of Hamilton–Jacobi equations on metric spaces

Nonlinearity ◽

10.1088/1361-6544/aadc02 ◽

2018 ◽

Vol 31 (11) ◽

pp. 5147-5161 ◽

Author(s):

Atsushi Nakayasu ◽

Tokinaga Namba

Keyword(s):

Viscosity Solutions ◽

Metric Spaces ◽

Large Time Behavior ◽

Time Behavior ◽

Stability Properties ◽

Jacobi Equations

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A representation formula of viscosity solutions to weakly coupled systems of Hamilton-Jacobi equations with applications to regularizing effect

Journal of Differential Equations ◽

10.1016/j.jde.2019.09.022 ◽

2020 ◽

Vol 268 (5) ◽

pp. 2012-2039 ◽

Author(s):

Liang Jin ◽

Lin Wang ◽

Jun Yan

Keyword(s):

Viscosity Solutions ◽

Representation Formula ◽

Coupled Systems ◽

Weakly Coupled ◽

Weakly Coupled Systems ◽

Jacobi Equations

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A Generalized Dynamical Approach to the Large Time Behavior of Solutions of Hamilton--Jacobi Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/050621955 ◽

2006 ◽

Vol 38 (2) ◽

pp. 478-502 ◽

Author(s):

Andrea Davini ◽

Antonio Siconolfi

Keyword(s):

Large Time Behavior ◽

Time Behavior ◽

Dynamical Approach ◽

Jacobi Equations

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Blow-up and Large Time Behavior of Solutions of a Weakly Coupled System of Reaction-Diffusion Equations

Tsukuba Journal of Mathematics ◽

10.21099/tkbjm/1496164558 ◽

2003 ◽

Vol 27 (1) ◽

pp. 31-46 ◽

Author(s):

Noriaki Umeda

Keyword(s):

Blow Up ◽

Reaction Diffusion ◽

Coupled System ◽

Large Time Behavior ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Time Behavior ◽

Weakly Coupled ◽

Weakly Coupled System

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Large time behavior of periodic viscosity solutions for uniformly parabolic integro-differential equations

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-013-0636-2 ◽

2013 ◽

Vol 50 (1-2) ◽

pp. 283-304 ◽

Author(s):

Guy Barles ◽

Emmanuel Chasseigne ◽

Adina Ciomaga ◽

Cyril Imbert

Keyword(s):

Differential Equations ◽

Viscosity Solutions ◽

Large Time Behavior ◽

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