Tel Aviv University School of Mathematical Sciences Applied Mathematics Seminar Date: Tuesday February 15th, 2011, 15:10 Place: Schreiber Bldg, Room 309 Speaker: Vitali Liskevich Swansea Univesity, UK Title: Pointwise and gradient estimates for a class of quasi-linear parabolic equations. 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 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 information about future seminars, see <http://www.tau.ac.il/~adid/AM_seminar_2010-201/AM_seminar_2010-2011.html> ______________________________________________________________________ Dr. Adi Ditkowski | Department of Applied Mathematics | School of Mathematical Sciences phone: 972-3-640-5987 | Tel Aviv University, fax : 972-3-640-9357 | Tel Aviv, 69978 Israel email: <adid@post.tau.ac.il> | ______________________________________________________________________ --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Adi Ditkowski <adid@post.tau.ac.il>