Abstract and Applied Analysis
Volume 2008 (2008), Article ID 836124, 9 pages
Research Article

Global Self-similar Solutions of a Class of Nonlinear Schrödinger Equations

Yaojun YE

Department of Mathematics and Information Science, Zhejiang University of Science and Technology, Hangzhou 310023, China

Received 11 November 2007; Accepted 4 March 2008

Academic Editor: Thomas Bartsch

Copyright © 2008 Yaojun YE. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


For a certain range of the value p in the nonlinear term |u|pu, in this paper we mainly study the global existence and uniqueness of global self-similar solutions to the Cauchy problem for some nonlinear Schrödinger equations using the method of harmonic analysis.