17 citations · 143 across the 39 of their papers we have counts for
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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…
Generalized square function estimates for curves and their conical extensions
Robert Schippa
We show sharp square function estimates for curves in the plane whose curvature degenerates at a point and estimates sharp up to endpoints for cones over these curves. To this end,…
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 -…
Strichartz estimates for quasi-periodic functions and applications
Robert Schippa
We show Strichartz estimates for quasi-periodic functions with decaying Fourier coefficients via -decoupling. When we additionally average in time, further improvements can…
Local smoothing for the Hermite wave equation
Robert Schippa
We show local smoothing estimates in -spaces for solutions to the Hermite wave equation. For this purpose, we obtain a parametrix given by a Fourier Integral Operator, which w…