Several Dynamic Properties of Solutions to a Generalized Camassa-Holm Equation

For a nonlinear generalization of the Camassa-Holm equation, we investigate the dynamic properties of solutions for the equation under the assumption that the initial value u0(x) lies in the space H1(R). A one-sided upper bound estimate on the first-order spatial derivative, Lp bound estimate, and a...

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Bibliographic Details
Main Author: Zheng Yin
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/247841
Description
Summary:For a nonlinear generalization of the Camassa-Holm equation, we investigate the dynamic properties of solutions for the equation under the assumption that the initial value u0(x) lies in the space H1(R). A one-sided upper bound estimate on the first-order spatial derivative, Lp bound estimate, and a space-time higher-norm estimate for the solutions are obtained.
ISSN:1085-3375
1687-0409