scholarly journals Unique continuation properties for solutions to the Camassa-Holm equation and related models

2020 ◽  
Vol 148 (9) ◽  
pp. 3871-3879 ◽  
Author(s):  
Felipe Linares ◽  
Gustavo Ponce
Keyword(s):  
Unique Continuation ◽  
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 Conservative finite difference schemes for the modified Camassa-Holm equation

JSIAM Letters ◽  
2011 ◽  
Vol 3 (0) ◽  
pp. 37-40 ◽  
Author(s):  
Yuto Miyatake ◽  
Takayasu Matsuo ◽  
Daisuke Furihata
Keyword(s):  
Finite Difference ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Holm Equation
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