2 papers
math.AP2026
The Cauchy problem for the periodic Kadomtsev--Petviashvili--II equation below
Sebastian Herr, Robert Schippa, Nikolay Tzvetkov
We extend Bourgain's -wellposedness result for the KP-II equation on to initial data with negative Sobolev regularity. The key ingredient is a new linear -…
math.AP2025
Global results for weakly dispersive KP-II equations on the cylinder
Sebastian Herr, Robert Schippa, Nikolay Tzvetkov
We consider the dispersion-generalized KP-II equation on a partially periodic domain in the weakly dispersive regime. We use Fourier decoupling techniques to derive essentially sha…