4 papers
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,…
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…
Strichartz estimates for Maxwell equations on domains with perfectly conducting boundary conditions
Nicolas Burq, Robert Schippa
We consider Maxwell equations on a smooth domain with perfectly conducting boundary conditions in isotropic media in two and three dimensions. In the charge-free case we recover St…