2 citations · 2 across the 2 of their papers we have counts for
5 papers
Sharp well-posedness for the Cauchy problem of the two dimensional quadratic nonlinear Schrödinger equation with angular regularity
Hiroyuki Hirayama, Shinya Kinoshita, Mamoru Okamoto
This paper is concerned with the Cauchy problem of the quadratic nonlinear Schrödinger equation in with the nonlinearity where $η\in \math…
The Zakharov-Kuznetsov equation in high dimensions: Small initial data of critical regularity
Sebastian Herr, Shinya Kinoshita
The Zakharov-Kuznetsov equation in spatial dimension is considered. The Cauchy problem is shown to be globally well-posed for small initial data in critical spaces and it…
Well-posedness for the Cauchy problem of the modified Zakharov-Kuznetsov equation
Shinya Kinoshita
This paper is concerned with the Cauchy problem of the modified Zakharov-Kuznetsov equation on . If , we prove the sharp estimate which implies local in time wel…
Global Well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D
Shinya Kinoshita
This paper is concerned with the Cauchy problem of the D Zakharov-Kuznetsov equation. We prove bilinear estimates which imply local in time well-posedness in the Sobolev space $…
Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations with radial initial data
Hiroyuki Hirayama, Shinya Kinoshita, Mamoru Okamoto
In the present paper, we consider the Cauchy problem of the system of quadratic derivative nonlinear Schrödinger equations. This system was introduced by M. Colin and T. Colin (200…