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>  |
______________________________________________________________________
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Adi Ditkowski   <adid@post.tau.ac.il>