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(Nov. 27) Infinite iteration of normal form reductions for nonlinear dispersive equations

Last updated :2017-11-23

Topic: Infinite iteration of normal form reductions for nonlinear dispersive equations
Speaker:
Associate Professor Soonsik Kwon (Korea Advanced Institute of Science and Technology)
Time: 4:00-5:00 pm, Monday, November 27, 2017
Venue: Room 301, New Mathematics Building, Guangzhou South Campus, SYSU

Abstract:
I will begin with explaining the Poincare-Dulac normal form idea for canonical nonlinear dispersive equations. Taking an infinite iteration of normal form, we change a nonlinear dispersive equation to an equation with infinite series nonlinear terms, which contain near-resonant interactions.I will explain how we apply to the idea to obtain the unconditional well-posedness in low regularity. We will present several results in various setting. Also, a relation to canonical transform will be discussed.