scholarly journals Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case

2009 ◽  
Vol 246 (9) ◽  
pp. 3715-3749 ◽  
Author(s):  
Changxing Miao ◽  
Guixiang Xu ◽  
Lifeng Zhao
Keyword(s):  
Fourth Order ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Well Posedness ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Radial Case ◽  
Nonlinear Schrodinger Equations

Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: The radial case

2017 ◽  
Vol 6 (2) ◽  
pp. 183-197 ◽  
Author(s):  
Olivier Goubet ◽  
Emna Hamraoui
Keyword(s):  
Blow Up ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Radial Solutions ◽  
Nls Equation ◽  
Nonlinear Schrödinger ◽  
Radial Case ◽  
Nonlinear Schrodinger Equations ◽  
Dimension 2

AbstractIn this article we investigate both numerically and theoretically the influence of a defect on the blow-up of radial solutions to a cubic NLS equation in dimension 2.

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