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Large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations
- Source :
- Nonlinear Differential Equations and Applications, Nonlinear Differential Equations and Applications, Springer Verlag, 2012, 19 (6), pp.719-749. ⟨10.1007/s00030-011-0149-7⟩, Nonlinear Differential Equations and Applications, 2012, 19 (6), pp.719-749. ⟨10.1007/s00030-011-0149-7⟩
- Publication Year :
- 2012
- Publisher :
- HAL CCSD, 2012.
-
Abstract
- We show a large time behavior result for class of weakly coupled systems of first-order Hamilton–Jacobi equations in the periodic setting. We use a PDE approach to extend the convergence result proved by Namah and Roquejoffre (Commun. Partial. Differ. Equ. 24(5–6):883–893, 1999) in the scalar case. Our proof is based on new comparison, existence and regularity results for systems. An interpretation of the solution of the system in terms of an optimal control problem with switching is given.
- Subjects :
- Class (set theory)
large-time behavior
systems of hamilton-jacobi equations
critical value
hamilton-jacobi equations
viscosity solution
large time behavior
weakly coupled system
Scalar (mathematics)
01 natural sciences
Hamilton–Jacobi equation
Interpretation (model theory)
Mathematics - Analysis of PDEs
Convergence (routing)
FOS: Mathematics
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
0101 mathematics
Mathematics
Applied Mathematics
010102 general mathematics
Mathematical analysis
Critical value
Optimal control
First order
010101 applied mathematics
Hamilton-Jacobi equations
49L25, 35F30, 35B25, 58J37
Analysis
Analysis of PDEs (math.AP)
Subjects
Details
- Language :
- English
- ISSN :
- 10219722 and 14209004
- Database :
- OpenAIRE
- Journal :
- Nonlinear Differential Equations and Applications, Nonlinear Differential Equations and Applications, Springer Verlag, 2012, 19 (6), pp.719-749. ⟨10.1007/s00030-011-0149-7⟩, Nonlinear Differential Equations and Applications, 2012, 19 (6), pp.719-749. ⟨10.1007/s00030-011-0149-7⟩
- Accession number :
- edsair.doi.dedup.....44eb610b39da80dcad8d5c8951442e7c