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

Abstract:

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.

• Periodical: Applied Mechanics and Materials (Volumes 385-386)
• Pages: 1902-1905
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.385-386.1902
• Online since: August 2013
• Authors: Shun Guang Kang, Jia Jia
• Keywords: Persistence Property, Two-Component Camassa-Holm Equation, Unique Continuation

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