collaborators

4 papers

math.AP2026

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 I…

math.AP2025

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…

math.AP2025

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…

math.AP2025

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 e…