主 讲 人：Prof. Xuefeng Wang （Tulane University, USA）

时间地点：

6月6日（周四）下午3:00-5:00   北二教学楼514

6月8日（周六）上午8:30-11:30  北二教学楼514

6月10日（周一）上午9:00-11:30 北二教学楼131

6月10日（周一）下午2:00-4:30  北二教学楼131

6月13日（周四）下午2:00-5:00  北二教学楼514

6月17日（周一）上午8:30-11:30  北二教学楼514

备注：Abstract: Bifurcation theory is a great methodology for understanding the solution set of a PDE, and for revealing the critical roles played by physical and biological parameters, The lectures intend to provide a gentle introduction to the phenomenon of bifurcation from “constant solutions”. We start with Crandall-Rabinowitz local bifurcation theorem with a proof; we then discuss the turning of the bifurcation branch and the principle of exchange of stability; at the end we introduce a relatively new global bifurcation theory for Fredholm operators (due to Fitzpatrick, Pejsachowicz and Rabier, and made user-friendly by Shi and myself), which improves the celebrated Rabinowitz’s global theorem. The abstract theory will be mixed with PDE examples.