Nonlinear Schr\"odinger equation with a point defect
Preprint Series # 768 Fukuizumi, Reika and Ohta, Masahito and Ozawa, Tohru Nonlinear Schr\"odinger equation with a point defect. (2006); AbstractWe study nonlinear Schr\"odinger equation
with a deltafunction impurity in one space dimension.
Global wellposedness is proved for the Cauchy problem in $L^2(\R)$
under subcritical nonlinearity,
as well as under critical nonlinearity with smallness assumption on the data.
In the attractive case,
orbital stability and instability
of the ground state
is proved in $H^1(\R)$. Item Type:  Preprint 

Uncontrolled Keywords:  nonlinear Schr\"odinger equation with a delta potential, global wellposedness of the Cauchy problem,
orbital stability and instability of the ground state


Subjects:  35xx PARTIAL DIFFERENTIAL EQUATIONS 

ID Code:  1261 

