Phenomena of Blowup and Global Existence of the Solution to a Nonlinear Schrödinger Equation
Joint Authors
Song, Xianfa
An, Xiaowei
Li, Desheng
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-30
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We consider the following Cauchy problem: -iut=Δu-V(x)u+f(x,|u|2)u+(W(x)⋆|u|2)u, x∈ℝN,t>0, u(x, 0)=u0(x),x∈ℝN, where V(x) and W(x) are real-valued potentials and V(x)≥0 and W(x) is even, f(x,|u|2) is measurable in x and continuous in |u|2, and u0(x) is a complex-valued function of x.
We obtain some sufficient conditions and establish two sharp thresholds for the blowup and global existence of the solution to the problem.
American Psychological Association (APA)
An, Xiaowei& Li, Desheng& Song, Xianfa. 2013. Phenomena of Blowup and Global Existence of the Solution to a Nonlinear Schrödinger Equation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-456333
Modern Language Association (MLA)
An, Xiaowei…[et al.]. Phenomena of Blowup and Global Existence of the Solution to a Nonlinear Schrödinger Equation. Abstract and Applied Analysis No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-456333
American Medical Association (AMA)
An, Xiaowei& Li, Desheng& Song, Xianfa. Phenomena of Blowup and Global Existence of the Solution to a Nonlinear Schrödinger Equation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-456333
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456333