Well-posedness and the Long Time Behavior of Nonlinear PDEs
Student No.:40
Time:Tue & Thu 17:05-18:40, Sep.18-Dec.13
Instructor:王学成Wang Xuecheng  
Place:Conference Room 1, Jin Chun Yuan West Bldg.
Starting Date:2018-9-18
Ending Date:2018-12-13

In this course, we discuss the well-posedness (Local and Global) and the long time behavior of nonlinear wave equations and nonlinear dispersive equations. Some classic works as well as the recent progress in this field will be discussed.

Prerequisite: Fourier analysis.

[1] A. D. Ionescu and B. Pausader, The energy-critical defocusing NLS on $\T^3$, Duke Mathematical Journal 161, 1581-1612 (2012);
[2] A. D. Ionescu, C. E. Kenig, and D. Tataru, Global well-posedness of the KP-I initial-value problem in the energy space, Inventiones Mathematicae 173, 265-304 (2008).