Title: Global solutions of nonlinear wave equations

Speaker: Xiao Zhang (Institute of Mathematics, AMSS, Chinese Academy of Sciences )

Venue: Room 09 at Quan-Zhai (全斋), New location for BICMR, Peking University

Time: March 12, 2012, Monday, 1:30-3:30pm

Abstract: We firstly give a brief introduction of the global existence for the Einstein vacuum equations, and provide some possible formulations of the problem in black hole case. As the basis of technical details, we then discuss the null condition of Klainerman, and the weak null condition of Lindblad which follows from an idea of Hormander. We discuss global solutions of nonlinear wave equations under these conditions.