Dirichlet Problems for some Hamilton-Jacobi Equations With Inequality Constraints

LIONS, Neumann type boundary conditions for Hamilton-Jacobi equations,

— We show that every global viscosity solutionof the Hamilton-Jacobi equation associated with a convex and superlinear Hamiltonian on the cotangent bun- dle of a closed manifold

Using a notion of viscosity solution that slightly differs from the original one of Crandall and Lions (but is, we believe, easier to handle in the framework of equations with memory)

We refer to [14] for the study of equation (1.1) or more general quasilinear parabolic equations with rough initial data, where we give new decay and uniqueness properties.. The

Jacobi equation. We take advantage of the methods of asymptotic analysis, convex analysis and of nonsmooth analysis to shed a new light on classical results. We use formulas of the

More precisely, we show that, for p > 1, global classical solutions to (1.1) decay to zero in W 1, ∞ (Ω) at the same (exponential) rate as the solutions to the linear heat

The large time behaviour of sign- changing initial data is next deduced from that of non-negative solutions after observing that the negative part of any solution to (1)-(3) vanishes

Dans cette note, on discute une classe d’´ equations de Hamilton-Jacobi d´ ependant du temps, et d’une fonction inconnue du temps choisie pour que le maximum de la solution de