17 citations · 143 across the 39 of their papers we have counts for
40 papers
Low-regularity well-posedness for dispersive equations with derivative nonlinearity and quasi-periodic initial data
Robert Schippa
We show low-regularity well-posedness of the Korteweg-de Vries equation with spatially quasi-periodic initial data. To this end, we employ frequency-dependent time localization and…
Local smoothing for rough wave equations
Jan Rozendaal, Robert Schippa
We prove local smoothing estimates for wave equations with coefficients, relying on bilinear restriction estimates associated with rough wave propagation. In two and three…
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…
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…
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…
Improved well-posedness for quasilinear and sharp local well-posedness for semilinear KP-I equations
Shinya Kinoshita, Akansha Sanwal, Robert Schippa
We show new well-posedness results in anisotropic Sobolev spaces for dispersion-generalized KP-I equations with increased dispersion compared to the KP-I equation. We obtain the sh…