3 papers
math.AP2025
Maximal estimates for orthonormal systems of wave equations
Shinya Kinoshita, Hyerim Ko, Shobu Shiraki
This paper investigates maximal estimates of the wave operators for orthonormal families of initial data. We extend the classical maximal estimates for the wave operator by making…
math.AP2025
Global well-posedness and scattering for the 2D modified Zakharov-Kuznetsov equation
Simão Correia, Shinya Kinoshita
We consider the Cauchy problem associated with the modified Zakharov-Kuznetsov equation over . Taking into consideration the associated dispersive effects, we introdu…
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…