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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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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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 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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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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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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Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2013-05905-3 ◽

2013 ◽

Vol 366 (4) ◽

pp. 1905-1941 ◽

Author(s):

Yoshikazu Giga ◽

Qing Liu ◽

Hiroyoshi Mitake

Keyword(s):

Large Time Behavior ◽

Time Behavior ◽

Neumann Problems ◽

Jacobi Equations

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The Large-time Behavior of Solutions of Hamilton-Jacobi Equations on the Real Line

Methods and Applications of Analysis ◽

10.4310/maa.2008.v15.n2.a8 ◽

2008 ◽

Vol 15 (2) ◽

pp. 223-242 ◽

Author(s):

Naoyuki Ichihara ◽

Hitoshi Ishii

Keyword(s):

Real Line ◽

Large Time Behavior ◽

Time Behavior ◽

The Real ◽

Jacobi Equations

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Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in R N

Communications in Partial Differential Equations ◽

10.1080/03605302.2020.1846561 ◽

2020 ◽

pp. 1-26

Author(s):

Guy Barles ◽

Alexander Quaas ◽

Andrei Rodríguez-Paredes

Keyword(s):

Large Time Behavior ◽

Time Behavior ◽

Unbounded Solutions ◽

Jacobi Equations

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Large time behavior of solutions of viscous Hamilton–Jacobi equations with superquadratic Hamiltonian

Asymptotic Analysis ◽

10.3233/asy-2009-0965 ◽

2010 ◽

Vol 66 (3-4) ◽

pp. 161-186 ◽

Author(s):

Thierry Tabet Tchamba

Keyword(s):

Large Time Behavior ◽

Time Behavior ◽

Jacobi Equations

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A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2013.10.005 ◽

2015 ◽

Vol 32 (1) ◽

pp. 183-200 ◽

Author(s):

Filippo Cagnetti ◽

Diogo Gomes ◽

Hiroyoshi Mitake ◽

Hung V. Tran

Keyword(s):

Large Time Behavior ◽

Time Behavior ◽

Jacobi Equations

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