Abstract and Applied Analysis
Volume 2008 (2008), Article ID 836124, 9 pages
doi:10.1155/2008/836124
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
Abstract
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.