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math.AP2025
Wave packet decompositions and sharp bilinear estimates for rough Hamiltonian flows
Robert Schippa, Daniel Tataru
The goal of this paper is to prove bilinear estimates for rough dispersive evolutions satisfying non-degeneracy and transversality assumptions. The estimates generalize the s…
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…
math.CA2025
Square function estimates for cones over quadratic manifolds
Robert Schippa
We extend the -square function estimates for the parabola and the half-cone to quadratic manifolds in higher dimensions and their conical extensions. To this end, we require t…