Technion - Israel Institute of Technology Department of Mathematics ============================================ PDE AND APPLIED MATHEMATICS SEMINAR ============================================ DATE: Tuesday, March 1, 2011 SPEAKER: Professor Vitali Liskevich, Swansea Univesity ,UK TITLE: Pointwise and gradient estimates for a class of quasi-linear parabolic equations PLACE: Room 814, Amado Mathematics Building, Technion TIME: 14:30 Abstract .In this talk we will discuss basic regularity properties of second order quasi-linear elliptic and parabolic equation of divergence type. First we present pointwise estimates for solutions of evolutional p-Laplace equations and porous media equations with measure as a forcing term. Next, for the general structure of the quasi-linear elliptic and parabolic equations with lower order terms we establish optimal conditions for local boundedness of solutions, continuity and the validity of the Harnack inequality. Finally, assuming the the divergence structure of the main part of the p-Laplace type evolution equation is differentiable, we will present the estimates for the gradients of solutions and establish sufficient conditions for Lipschitz continuity. For further info: Gershon Wolansky <gershonw@math.technion.ac.il> For past and future Applied Math/PDE seminars: <http://www.math.technion.ac.il/pde/seminar.html> --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Gershon Wolansky <gershonw@math.technion.ac.il>