Acta mathematica scientia, Series B >
UNIQUE CONTINUATION AND PERSISTENCE PROPERTIES OF SOLUTIONS OF THE 2-COMPONENT DEGASPERIS-PROCESI#br# EQUATIONS
Received date: 2009-11-13
Revised date: 2010-11-15
Online published: 2012-03-20
Supported by
This work was supported by NNSFC (11001219, 10925104) and the Scientific Research Program Funded by Shaanxi Provincial Education Department (2010JK860).
In this article, the unique continuation and persistence properties of solutions of the 2-component Degasperis-Procesi equations are discussed. It is shown that strong solutions of the 2-component Degasperis-Procesi equations, initially decaying exponentially
together with its spacial derivative, must be identically equal to zero if they also decay exponentially at a later time.
FU Ying , QU Chang-Zheng . UNIQUE CONTINUATION AND PERSISTENCE PROPERTIES OF SOLUTIONS OF THE 2-COMPONENT DEGASPERIS-PROCESI#br# EQUATIONS[J]. Acta mathematica scientia, Series B, 2012 , 32(2) : 652 -662 . DOI: 10.1016/S0252-9602(12)60046-0
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