Self-Similar Solutions for Nonlinear Schrödinger Equations
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-29
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We study the self-similar solutions for nonlinear Schrödinger type equations of higher order with nonlinear term |u|αu by a scaling technique and the contractive mapping method.
For some admissible value α, we establish the global well-posedness of the Cauchy problem for nonlinear Schrödinger equations of higher order in some nonstandard function spaces which contain many homogeneous functions.
we do this by establishing some nonlinear estimates in the Lorentz spaces or Besov spaces.
These new global solutions to nonlinear Schrödinger equations with small data admit a class of self-similar solutions.
American Psychological Association (APA)
Ye, Yaojun. 2009. Self-Similar Solutions for Nonlinear Schrödinger Equations. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-461561
Modern Language Association (MLA)
Ye, Yaojun. Self-Similar Solutions for Nonlinear Schrödinger Equations. Mathematical Problems in Engineering No. 2009 (2009), pp.1-15.
https://search.emarefa.net/detail/BIM-461561
American Medical Association (AMA)
Ye, Yaojun. Self-Similar Solutions for Nonlinear Schrödinger Equations. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-461561
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461561