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math.AP2008
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…
math.AP2008
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…
math.AP2007
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…