SEMINAIRE MERCREDI 23 JUIN 2004 14 heures Salle Séminaire 5 Centre de Physique Théorique Marseille-Luminy Matania Ben-Artzi Institute of Mathematics Hebrew University Jerusalem Title: Derivative estimates for nonlinear parabolic equations with applications to Hamilton-Jacobi equations and conservation laws. Abstract: Global derivative estimates are obtained for a class of nonlinear (viscous) Hamilton-Jacobi equations and conservation laws. As these estimates are independent of the viscosity coefficient, they allow the construction of solutions to a variety of equations, ranging from subcritical (viscous) or nonconvex Hamilton-Jacobi equations, as well as uniqueness of zero viscosity limits, by duality.