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

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

2011-04-23

arxiv.org/abs/1104.4534v2

Mathematics

Analysis of PDEs

28 pages. Some comments have been added in Section 3.3

Scientific paper

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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