Brown University

Mathematics Department Colloquium

Fridays – 4:30PM – Barus-Holley 190

Wednesday, October 5, 4:30PM, 115 McMillan - note special day and place!

Alexander Ionescu, Wisconsin

Low regularity solutions of nonlinear dispersive equations

Abstract: My talk will be concerned with the question of well-posedness of nonlinear dispersive equations in low regularity spaces. The main examples I will discuss are the Korteweg-de Vries equation, the Benjamin-Ono equation, and the Kadomtsev-Petviashvili I equation. I will also discuss the proof of a recent theorem (joint work with C. Kenig) on the global well-posedness of the Benjamin-Ono equation in L².