Existence and Stability of Standing Waves for Nonlinear Fractional Schrödinger Equations with Hartree Type and Power Type Nonlinearities
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider the standing wave solutions for nonlinear fractional Schrödinger equations with focusing Hartree type and power type nonlinearities.
We first establish the constrained minimization problem via applying variational method.
Under certain conditions, we then show the existence of standing waves.
Finally, we prove that the set of minimizers for the initial value problem of this minimization problem is stable.
American Psychological Association (APA)
Zhang, Na& Xin, Jie. 2016. Existence and Stability of Standing Waves for Nonlinear Fractional Schrödinger Equations with Hartree Type and Power Type Nonlinearities. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1095877
Modern Language Association (MLA)
Zhang, Na& Xin, Jie. Existence and Stability of Standing Waves for Nonlinear Fractional Schrödinger Equations with Hartree Type and Power Type Nonlinearities. Advances in Mathematical Physics No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1095877
American Medical Association (AMA)
Zhang, Na& Xin, Jie. Existence and Stability of Standing Waves for Nonlinear Fractional Schrödinger Equations with Hartree Type and Power Type Nonlinearities. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1095877
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095877