scholarly journals Persistence properties and unique continuation for a dispersionless two-component Camassa-Holm system with peakon and weak kink solutions

2015 ◽  
Vol 36 (5) ◽  
pp. 2613-2625 ◽  
Author(s):  
Qiaoyi Hu ◽  
Zhijun Qiao
Keyword(s):  
Unique Continuation ◽  
Persistence Properties ◽  
Two Component

Persistence Properties and Unique Continuation of Solutions of a Two-Component Camassa-Holm Equation

2013 ◽  
Vol 385-386 ◽  
pp. 1902-1905
Author(s):  
Shun Guang Kang ◽  
Jia Jia
Keyword(s):  
Unique Continuation ◽  
Strong Solutions ◽  
Persistence Properties ◽  
Holm Equation ◽  
Two Component

This paper is concerned with persistence properties and unique continuation of solutions to a two-component Camassa-Holm system. It is show that there are three results about these properties of the strong solutions. In particular, it is show that strong solutions of the two-component Camassa-Holm system, initially decaying exponentially together with its special derivative, must be identically equal to zero if they also decay exponentially at larger time.

scholarly journals Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation

2007 ◽  
Vol 271 (2) ◽  
pp. 511-522 ◽  
Author(s):  
A. Alexandrou Himonas ◽  
Gerard Misiołek ◽  
Gustavo Ponce ◽  
Yong Zhou
Keyword(s):  
Unique Continuation ◽  
Persistence Properties ◽  
Holm Equation
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