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math.AP2024
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…
math.AP2024
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…
math.AP2023
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…