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Remarks on the large time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton-Jacobi equations. (English) Zbl 1241.35020
Summary: We investigate the large-time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton-Jacobi equations on the \(n\)-dimensional torus. We establish a convergence result to asymptotic solutions as time goes to infinity under rather restricted assumptions.

MSC:
35B40 Asymptotic behavior of solutions to PDEs
35D40 Viscosity solutions to PDEs
35F21 Hamilton-Jacobi equations
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