Open AccessSeveral Dynamic Properties of Solutions to a Generalized Camassa-Holm Equation
Author(s) -
Zheng Yin
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/247841
Subject(s) - algorithm , computer science
For a nonlinear generalization of the Camassa-Holm equation,we investigate the dynamic properties of solutions for the equation underthe 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 solutionsare obtained
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