Persistence properties and unique continuation for a generalized Camassa-Holm equation

2014 ◽  
Vol 55 (9) ◽  
pp. 091503 ◽  
Author(s):  
A. Alexandrou Himonas ◽  
Ryan C. Thompson
Keyword(s):  
Unique Continuation ◽  
Persistence Properties ◽  
Holm Equation

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

scholarly journals Persistence properties for the generalized Camassa-Holm equation

2020 ◽  
Vol 25 (5) ◽  
pp. 1623-1630
Author(s):  
Yongsheng Mi ◽  
◽  
Boling Guo ◽  
Chunlai Mu ◽  
◽  
...  
Keyword(s):  
Persistence Properties ◽  
Holm Equation
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