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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 390132, 7 pages
http://dx.doi.org/10.1155/2013/390132
Research Article

Persistence Property and Estimate on Momentum Support for the Integrable Degasperis-Procesi Equation

1College of Mathematics and Information Science, Wenzhou University, Wenzhou, Zhejiang 325035, China
2Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China

Received 24 April 2013; Accepted 4 October 2013

Academic Editor: T. Raja Sekhar

Copyright © 2013 Zhengguang Guo and Liangbing Jin. 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.

Abstract

It is shown that a strong solution of the Degasperis-Procesi equation possesses persistence property in the sense that the solution with algebraically decaying initial data and its spatial derivative must retain this property. Moreover, we give estimates of measure for the momentum support.