Convergence properties of solutions to several classes of PDEs

PDE Seminar
Tuesday, September 15, 2009 - 3:05pm for 1.5 hours (actually 80 minutes)
Skiles 255
Zhang, Lei – University of Florida – leizhang@math.ufl.edu
Zhiwu Lin
Many problems in Geometry, Physics and Biology are described by nonlinear partial differential equations of second order or four order. In this talk I shall mainly address the blow-up phenomenon in a class of fourth order equations from conformal geometry and some Liouville systems from Physics and Ecology. There are some challenging open problems related to these equations and I will report the recent progress on these problems in my joint works with Gilbert Weinstein and Chang-shou Lin.