Dispersive limits for some perturbations of the NLS equation
From MaRDI portal
Publication:1736096
DOI10.1007/s00605-018-1238-zzbMath1412.35304OpenAlexW2903304677MaRDI QIDQ1736096
Mohamad Darwich, Nobu Kishimoto, Luc Molinet
Publication date: 29 March 2019
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-018-1238-z
NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25)
Cites Work
- Well-posedness for the fourth-order nonlinear Schrödinger-type equation related to the vortex filament.
- On the ill-posedness of some canonical dispersive equations.
- The Cauchy problem for the fourth-order nonlinear Schrödinger equation related to the vortex filament
- Existence and Stability of Standing Waves of Fourth Order Nonlinear Schrödinger Type Equation Related to Vortex Filament
- Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocity
- Remark on well-posedness for the fourth order nonlinear Schrödinger type equation
- A bilinear estimate with applications to the KdV equation
- Dispersion estimates for fourth order Schrödinger equations
- A Refined Well-Posedness for the Fourth-Order Nonlinear Schrödinger Equation Related to the Vortex Filament
