Department of Mathematics - Seminar on PDE - Energy method for quantitative analysis of rates of convergence to asymptotic profiles for fast diffusion
In this talk, we shall discuss quantitative analysis of asymptotic behaviors of (possibly sign-changing) solutions to the Cauchy-Dirichlet problem for the fast diffusion equation posed on bounded domains with Sobolev subcri
Department of Mathematics - Seminar on PDE - Some results on harmonic maps with free boundary and beyond
The theory of harmonic maps with free boundary is an old topic in geometric analysis. I will report on recent results on their Ginzburg-Landau approximation, regularity theory, and their heat flow.