6 papers
Sharp Decay Estimates and Vanishing Viscosity for Diffusive Hamilton-Jacobi Equations
Said Benachour, Matania Ben-Artzi, Philippe Laurençot
Sharp temporal decay estimates are established for the gradient and time derivative of solutions to a viscous Hamilton-Jacobi equation as well the associated Hamilton-Jacobi equati…
Unbounded Viscosity Solutions of Hybrid Control Systems
Guy Barles, Sheetal Dharmatti, Mythily Ramaswamy
We study a hybrid control system in which both discrete and continuous controls are involved. The discrete controls act on the system at a given set interface. The state of the sys…
Asymptotic profiles of solutions to convection-diffusion equations
Said Benachour, Grzegorz Karch, Philippe Laurençot
The large time behavior of zero mass solutions to the Cauchy problem for a convection-diffusion equation. We provide conditions on the size and shape of the initial datum such that…
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…
Inverse Problem for the Schrödinger Operator in an Unbounded Strip
Laure Cardoulis, Michel Cristofol, Patricia Gaitan
We consider the operator in an unbounded strip in , where . We prove adapted a globa…
Decay Estimates for a Viscous Hamilton-Jacobi Equation with Homogenious Dirichet Boundary Conditions
Said Benachour, Simona Dabuleanu-Hapca, Philippe Laurençot
Global classical solutions to the viscous Hamilton-Jacobi equation with homogenious Dirichlet boundary conditions are shown to converge to zero at the same speed as the linear heat…