I will discuss the pointwise regularity of solutions to parabolic equations. In particular, I will talk about a method that can be used to obtain a second order Taylor expansion (in L^p-average). I will also discuss how the same method can be applied to the parabolic obstacle problem in order to study the regularity of the free boundary.
Analysis Seminar
Tuesday, March 19, 2013 - 4:30pm
Erik Lindgren
Norwegian University of Science and Technology