12 citations · 61 across the 24 of their papers we have counts for
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Global well-posedness for intermediate NLS with nonvanishing conditions at infinity
Takafumi Akahori, Rana Badreddine, Slim Ibrahim +1
The intermediate nonlinear Schrödinger equation (INLS) describes the dynamics of the envelope of weakly nonlinear internal waves in a stratified fluid of finite depth. While the IN…
Unconditional uniqueness for the derivative nonlinear Schrödinger equation by normal form approach
Nobu Kishimoto
We prove uniqueness of solutions to the Cauchy problem for the derivative nonlinear Schrödinger equation in . Our proof is based on the method of normal form r…
Global solution and asymptotic behavior for the kinetic derivative NLS on
Nobu Kishimoto, Kiyeon Lee
In this paper we investigate the global well-posedness and long-term behavior of solutions to the kinetic derivative nonlinear Schrödinger equation (KDNLS) on the real line. The eq…
Local and global well-posedness for the kinetic derivative NLS on
Nobu Kishimoto, Kiyeon Lee
We investigate the local and global well-posedness of the kinetic derivative nonlinear Schrödinger equation (KDNLS) on , described by \[ i\partial_t u + \partial_x^2 u…