CNA Seminar

Jose' Miguel Urbano
CMUC - University of Coimbra
Title: Local Holder continuity for doubly nonlinear parabolic equations

Abstract: We give a proof of the Holder continuity of weak solutions for the doubly nonlinear parabolic equation in the degenerate case. The analysis discriminates between large scales, for which a Harnack inequality is used, and small scales, that require intrinsic scaling methods. The focus of the talk will be on the precise construction of the sequence of nested and shrinking cylinders where the oscillation of the solution is to be evaluated, and its relation to the structure of the pde. This is a joint work with Tuomo Kuusi and Juhana Siljander (Aalto University, Finland) that will soon appear in Indiana Univ. Math. J.

Recording (avi): http://mm.math.cmu.edu/recordings/cna/CNA-UrbanoJoseMiguel-October-30-2012.avi
Recording (mp4): http://mm.math.cmu.edu/recordings/cna/CNA-UrbanoJoseMiguell-Oct-30-2012.mp4
Date: Tuesday, October 30, 2012
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer