Asymptotic Profile of Solutions to the Degasperis-Procesi Equation

作者:Chen, Huiping; Guo, Zhengguang*
来源:Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38(1): 333-344.
DOI:10.1007/s40840-014-0023-y

摘要

It is shown that a strong solution of the Degasperis-Procesi equation, initially decaying exponentially together with its spatial derivative, must be identically equal to zero if it also decays exponentially at a later time. The decay rate of the corresponding strong solution at infinity is also given for some kinds of initial data with exponential decay.