The Property of the Solution about Cauchy Problem for Fourth-Order Schrödinger Equation with Critical Time-Oscillating Nonlinearity
Joint Authors
Ren, Hongping
Cuihua, Guo
Shulin, Sun
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-21
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We study the property of the solution in Sobolev spaces for the Cauchy problem of the following fourth-order Schrödinger equation with critical time-oscillating nonlinearity i u t + Δ 2 u + θ ( ω t ) | u | 8 / ( n - 4 ) u = 0 , where ω , t ∈ R , x ∈ R n , and θ is a periodic function.
We obtain the asymptotic property of the solution for the above equation as ω → ∞ under some conditions.
American Psychological Association (APA)
Cuihua, Guo& Ren, Hongping& Shulin, Sun. 2014. The Property of the Solution about Cauchy Problem for Fourth-Order Schrödinger Equation with Critical Time-Oscillating Nonlinearity. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1033586
Modern Language Association (MLA)
Cuihua, Guo…[et al.]. The Property of the Solution about Cauchy Problem for Fourth-Order Schrödinger Equation with Critical Time-Oscillating Nonlinearity. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1033586
American Medical Association (AMA)
Cuihua, Guo& Ren, Hongping& Shulin, Sun. The Property of the Solution about Cauchy Problem for Fourth-Order Schrödinger Equation with Critical Time-Oscillating Nonlinearity. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1033586
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033586