Thursday, Jan 18, 2018 - 3:30pm - Allen 14
Continuity of solutions to a logarithmic diffusion equation
Dr. Naian Liao, Mathematics, Chongqing University, China
Title: Continuity of solutions to a logarithmic diffusion equation
Abstract: In this talk, I will review known results on the local behavior of weak solutions to a logarithmic diffusion equation that arises from thin film dynamics. Some recent progress on the local continuity of weak solutions will be presented. More specifically, a first sufficient condition will be given to ensure the continuity of a weak solution at a vanishing point. Also, this leads us to an estimate of the Hausdorff measure of the discontinuous points.