Abstract and Applied Analysis

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

Yaojun YE

Abstract

For a certain range of the value $p$ in the nonlinear term ${|u|}^{p}u$, 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.

Article information

Source
Abstr. Appl. Anal., Volume 2008 (2008), Article ID 836124, 9 pages.

Dates
First available in Project Euclid: 9 September 2008

https://projecteuclid.org/euclid.aaa/1220969158

Digital Object Identifier
doi:10.1155/2008/836124

Mathematical Reviews number (MathSciNet)
MR2393123

Zentralblatt MATH identifier
1180.35493

Citation

YE, Yaojun. Global Self-similar Solutions of a Class of Nonlinear Schrödinger Equations. Abstr. Appl. Anal. 2008 (2008), Article ID 836124, 9 pages. doi:10.1155/2008/836124. https://projecteuclid.org/euclid.aaa/1220969158

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