scholarly journals Well-posedness of Initial Value Problem for Fourth Order Nonlinear Schrodinger Equation

2012 ◽  
Vol 8 (4) ◽  
pp. 1047-1074 ◽  
Author(s):  
Wenxu Ge ◽  
Yu-Zhu Wang
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Fourth Order ◽  
Initial Value Problem ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Well Posedness ◽  
Initial Value ◽  
Nonlinear Schrödinger

Energy critical Schrödinger equation with weighted exponential nonlinearity: Local and global well-posedness

2018 ◽  
Vol 15 (04) ◽  
pp. 599-621
Author(s):  
Abdelwahab Bensouilah ◽  
Dhouha Draouil ◽  
Mohamed Majdoub
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Initial Value Problem ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Well Posedness ◽  
Initial Value ◽  
Exponential Nonlinearity ◽  
Nonlinear Schrödinger

We investigate the initial value problem for a defocusing nonlinear Schrödinger equation with weighted exponential nonlinearity [Formula: see text] where [Formula: see text] and [Formula: see text]. We establish local and global well-posedness in the subcritical and critical regimes.

Sign in / Sign up

Export Citation Format

Share Document