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math.AP2006
Ergodic type problems and large time behaviour of unbounded solutions of Hamilton-Jacobi Equations
Guy Barles, Jean-Michel Roquejoffre
We study the large time behavior of Lipschitz continuous, possibly unbounded, viscosity solutions of Hamilton-Jacobi Equations in the whole space . The associated ergodic pro…
math.AP2003
Convergence to time-periodic solutions in Hamilton-Jacobi equations on the circle
Patrick Bernard, Jean-Michel Roquejoffre
The goal of this paper is to give a simple proof of the convergence to time-periodic states of the solutions of time-periodic Hamilton-Jacobi equations on the circle with convex Ha…