KP-II in 2 and 3d
Presenter
October 20, 2015
Keywords:
- KP equations
- Kadomtsev-Petviashvili
- Korteweg-de Vries equation
- Strichartz estimates
- Global well-posedness
- Existence of scattering solutions
MSC:
- 76B15
- 76B03
- 35Q53
- 35Q35
- 37K10
- 37K05
Abstract
In the talk I will explain global wellposedness and scattering results for dispersive equations with quadratic nonlinearities. The Kadomtsev-Petviashvili II equation in 3d requires additional decompositions, related function spaces and refined bilinear estimates.