Persistence Properties and Unique Continuation of Solutions of A Two-component Camassa-Holm Equation

摘要

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.