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

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  • Zheng Yin

Abstract

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.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:247841
DOI: 10.1155/2013/247841
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