11 citations · 14 across the 7 of their papers we have counts for
8 papers
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…
Gauge transformation for the kinetic derivative nonlinear Schrödinger equation on the torus
Nobu Kishimoto, Yoshio Tsutsumi
We consider the kinetic derivative nonlinear Schrödinger equation, which is a one-dimensional nonlinear Schrödinger equation with a cubic derivative nonlinear term containing the H…
Boundedness of the conformal hyperboloidal energy for a wave-Klein-Gordon model
Philippe G. LeFloch, Jesús Oliver, Yoshio Tsutsumi
We consider the global evolution problem for a model which couples together a nonlinear wave equation and a nonlinear Klein-Gordon equation, and was independently introduced by LeF…
Well-posedness of the Cauchy Problem for the Kinetic DNLS on
Nobu Kishimoto, Yoshio Tsutsumi
We consider the Cauchy problem for the kinetic derivative nonlinear Schrödinger equation on the torus: \[ \partial_t u - i \partial_x^2 u = α\partial_x \big( |u|^2 u \big) + β\part…
Quasi-Invariance of Gaussian Measures Transported by the Cubic NLS with Third-Order Dispersion on
Arnaud Debussche, Yoshio Tsutsumi
We consider the Nonlinear Schrödinger (NLS) equation and prove that the Gaussian measure with covariance on is quasi-invariant for the asso…
Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third order dispersion
Tadahiro Oh, Yoshio Tsutsumi, Nikolay Tzvetkov
In this paper, we consider the cubic nonlinear Schrödinger equation with third order dispersion on the circle. In the non-resonant case, we prove that the mean-zero Gaussian measur…
Ill-Posedness of the Third Order NLS Equation with Raman Scattering Term
Nobu Kishimoto, Yoshio Tsutsumi
We consider the ill-posedness and well-posedness of the Cauchy problem for the third order NLS equation with Raman scattering term on the one dimensional torus. It is regarded as a…
1D quintic nonlinear Schrödinger equation with white noise dispersion
Arnaud Debussche, Yoshio Tsutsumi
In this article, we improve the Strichartz estimates obtained in [12] for the Schrödinger equation with white noise dispersion in one dimension. This allows us to prove global well…