Recent developments in the well-posedness of non-linear dispersive equations |
Abstract: In this lecture I will survey some developments in the well-posedness theory for non-linear dispersive equations. Using the Korteweg-deVries equations as a model, I will discuss the breakthroughs of the 90's. I will then turn to other natural equations, such as the Benjamin-Ono equation and the Kadomstev-Petviashvili I equation, for which the methods of the 90's fail and report on recent developments for them. |
Web page: Alexandru I. Suciu | Comments to: alexsuciu@neu.edu | |
Posted: November 5, 2007 | URL: http://www.math.neu.edu/bhmn/kenig07.html |