PDE-MP-HA seminar, 21st March 2008, 1:50pm, Bloc627 Speaker: N. M. Tri, University of Chicago and Vietnamese Academy of Science and Technology Title: Regularity of solutions of a class of second order semilinear differential equations Abstract: In this talk we will present recent results on smoothness and analyticity of solutions of a semilinear elliptic degenerate differential equation. These results generalize well known theorems for linear differential equations. In order to obtain them we use fine properties of explicit fundamental solutions of the linear part of the equation under consideration.