Nonlinear Schrödinger equation with a point defect


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83918

Title:	Nonlinear Schrödinger equation with a point defect
Authors:	Fukuizumi, Reika Browse this author
	Ohta, Masahito Browse this author
	Ozawa, Tohru Browse this author
Keywords:	nonlinear Schr\"odinger equation with a delta potential
	global well-posedness of the Cauchy problem
	orbital stability and instability of the ground state
Issue Date:	2006
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	768
Start Page:	1
End Page:	14
Abstract:	We study nonlinear Schr\"odinger equation with a delta-function impurity in one space dimension. Global well-posedness 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 $H^1(\R)$.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69576
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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