Global Results for Weakly Dispersive KP-II Equations on the Cylinder
Abstract
Abstract 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 sharp Strichartz estimates. With these in hand, we show that global well-posedness of the quasilinear Cauchy problem in $$L^2(\mathbb {R}\times \mathbb {T})$$ L 2 ( R × T ) . Finally, we prove a long-time decay property of solutions with small mass by using the Kato smoothing effect in the fractional case.
Fields of Study & Subjects
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Archive for Rational Mechanics and Analysis
- Publisher
- Springer Science and Business Media LLC
- Volume
- 250
- Issue
- 3
- Pages
- 46–46
- Publication date
- 23 May 2026
- Language
- EN