Large time behavior for a viscous Hamilton-Jacobi equation with Neumann boudary condition.

Said Benachour (1) , Simona Dabuleanu (1)

1 IECN - Institut Élie Cartan de Nancy

We prove the existence and the uniqueness of strong solutions for the viscous Hamilton-Jacobi Equation with Neumann boundary condition and initial data a continious function. Then, we study the large time behavior of the solutions.

Mots clés: Nonlinear parabolic equations; Viscous Hamilton-Jacobi equations; Neumann boundary condition; Large time behavior; Bernstein technique.; Bernstein technique

Domaines: Equations aux dérivées partielles [math.AP]

Said Benachour, Simona Dabuleanu. Large time behavior for a viscous Hamilton-Jacobi equation with Neumann boudary condition.. Journal of Differential Equations, 2005, 216, pp.223-258. ⟨hal-00091967v2⟩