Nobu Kishimoto

activity

20112025

most citedLocal well-posedness for the Zakharov system on multidimensional torus

12 citations · 61 across the 24 of their papers we have counts for

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math.AP2012

Resonant decomposition and the $I$ -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 $I$ -method with some 'resonant decomposition…

math.AP2012★ 2 cited

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 $T$ ; the initial value problem is locally w…

math.AP2012★ 3 cited

Remark on the periodic mass critical nonlinear Schrödinger equation

Nobu Kishimoto

We consider the mass critical NLS on $T$ and $T^{2}$ . In the $R^{d}$ case the Strichartz estimates enable us to show well-posedness of the IVP in $L^{2}$ (at l…

Resonant decomposition and the I-method for the two-dimensional Zakharov system

Sharp local well-posedness for the "good" Boussinesq equation

Remark on the periodic mass critical nonlinear Schrödinger equation

Resonant decomposition and the $I$ -method for the two-dimensional Zakharov system