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

Hiroyoshi Mitake; Hung V. Tran

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arXiv · 1104.4534

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

Hiroyoshi Mitake·Hung V. Tran

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Abstract

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.

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Hiroyoshi Mitake, Hung V. Tran. 2011-04-23. Remarks on the large time behavior of viscosity solutions of quasi-monotone weakly coupled systems of Hamilton--Jacobi equations. https://arxiv.org/abs/1104.4534

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