Mass concentration for nonlinear Schrödinger equation with partial confinement

2020 ◽  
Vol 481 (2) ◽  
pp. 123484
Author(s):  
Jingjing Pan ◽  
Jian Zhang
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Mass Concentration ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Partial Confinement

scholarly journals Cross-constrained variational method and nonlinear Schrödinger equation with partial confinement

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Chenglin Wang ◽  
Jian Zhang
Keyword(s):  
Global Existence ◽  
Schrödinger Equation ◽  
Variational Method ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Invariant Manifolds ◽  
Nonlinear Schrodinger Equation ◽  
Sharp Condition ◽  
Nonlinear Schrödinger ◽  
Partial Confinement

<p style='text-indent:20px;'>In this paper, we study the nonlinear Schrödinger equation with a partial confinement. By applying the cross-constrained variational arguments and invariant manifolds of the evolution flow, the sharp condition for global existence and blowup of the solution is derived.</p>

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