Asymptotic behavior of viscosity solutions of first-order Hamilton Jacobi equations

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In this work, we are interested in the large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations in the periodic setting.. First results have been

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Nonlocal Hamilton-Jacobi Equations, dislocation dynamics, nonlocal front propagation, level-set approach, L 1 -estimates, geometrical properties, lower-bound gradient

For results concerning long time behaviour of solutions of Hamilton-Jacobi equations, one can for example refer to the papers [1] and [6], see also [2].. Remark 2 Notice that