Global existence and blow-up phenomena for a weakly dissipative Degasperis-Procesi equation
Shuyin Wu - School of Mathematics,Yunnan Normal University, 650092 Kunming, China (email)
Abstract: This paper is concerned with the long time behaviour of a weakly dissipative Degasperis-Procesi equation. Our analysis discloses the co-existence of global in time solutions and finite time break down of strong solutions. Our blow-up criterion for the initial profile generalizes considerably results obtained earlier in .
Keywords: Weakly dissipative
Degasperis-Procesi equation; Global existence; Blow-up.
Received: May 2009; Revised: June 2009; Published: July 2009.
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