3 citations · 6 across the 5 of their papers we have counts for
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Low regularity a priori estimate for KDNLS via the short-time Fourier restriction method
Nobu Kishimoto, Yoshio Tsutsumi
In this article, we consider the kinetic derivative nonlinear Schrödinger equation (KDNLS), which is a one-dimensional nonlinear Schrödinger equation with a cubic derivative nonlin…
Resonant decomposition and the -method for the two-dimensional Zakharov system
Nobu Kishimoto
The initial value problem of the Zakharov system on two-dimensional torus with general period is considered in this paper. We apply the -method with some 'resonant decomposition…
Sharp local well-posedness for the "good" Boussinesq equation
Nobu Kishimoto
In the present article, we prove the sharp local well-posedness and ill-posedness results for the "good" Boussinesq equation on ; the initial value problem is locally w…
Remark on the periodic mass critical nonlinear Schrödinger equation
Nobu Kishimoto
We consider the mass critical NLS on and . In the case the Strichartz estimates enable us to show well-posedness of the IVP in (at l…