Inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity on the upper half-plane

2019 ◽  
Vol 187 ◽  
pp. 279-306 ◽  
Author(s):  
Nakao Hayashi ◽  
Elena I. Kaikina
Keyword(s):  
Boundary Value Problem ◽  
Half Plane ◽  
Dirichlet Boundary ◽  
Boundary Value ◽  
Nonlinear Schrödinger Equations ◽  
Schrödinger Equations ◽  
Dirichlet Boundary Value Problem ◽  
Power Nonlinearity ◽  
Nonlinear Schrodinger Equations ◽  
Upper Half Plane

scholarly journals Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space

2021 ◽  
Vol 2 (6) ◽  
Author(s):  
Nakao Hayashi ◽  
Elena I. Kaikina ◽  
Takayoshi Ogawa
Keyword(s):  
Boundary Value Problem ◽  
Original Problem ◽  
Dirichlet Boundary ◽  
Boundary Value ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Dirichlet Boundary Value Problem ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations

AbstractWe consider the inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity in general space dimension $$n\ge 3$$ n ≥ 3 . We present some results on global existence in time and uniquness of small solutions to integral equations associated to the original problem.

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