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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 515948, 10 pages
http://dx.doi.org/10.1155/2012/515948
Research Article

A New Blow-Up Criterion for the DGH Equation

Department of Mathematics, Zhejiang Normal University, Zhejiang, Jinhua 321004, China

Received 6 December 2011; Accepted 28 March 2012

Academic Editor: P. J. Y. Wong

Copyright © 2012 Mingxuan Zhu et al. 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

We investigate the DGH equation. Analogous to the Camassa-Holm equation, this equation possesses the blow-up phenomenon. We establish a new blow up criterion on the initial data to guarantee the formulation of singularities in finite time.