IJPAM: Volume 100, No. 2 (2015)

THE EVOLUTION OF AN ANISOTROPIC
HYPERBOLIC SCHRÖDINGER MAP HEAT FLOW

P.H. Zhong
Department of Mathematics
Guangdong University of Education
Guangzhou, 510640, P.R. CHINA


Abstract. Solution of Schrödinger map heat flow equation with applied field in 2-dimensional $ \mathcal {H}^2 $ space is obtained. Two different methods are used to construct the norm $-1$ exact solution. The solution admit a finite time singularity or a global smooth property.

Received: December 22, 2014

AMS Subject Classification: 35K10, 35K65, 35Q40, 35Q55

Key Words and Phrases: Schrödinger map, hyperbolic, singularity, smooth solution

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DOI: 10.12732/ijpam.v100i2.10 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 100
Issue: 2
Pages: 299 - 307


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