A new asymptotic behavior of solutions to the Camassa-Holm equation

Ni, Lidiao; Zhou, Yong

doi:10.1090/S0002-9939-2011-10922-5

A new asymptotic behavior of solutions to the Camassa-Holm equation
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by Lidiao Ni and Yong Zhou PDF

Proc. Amer. Math. Soc. 140 (2012), 607-614 Request permission

Abstract:

The present work is mainly concerned with an algebraic decay rate of the strong solution to the Camassa-Holm equation in $L^{\infty }$-space. In particular, it is proved that the solution decays algebraically with the same exponent as that of the initial datum.

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