On the Study of Local Solutions for a Generalized Camassa-Holm Equation
Author(s) -
Meng Wu
Publication year - 2012
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 - 10.1155/2012/164876
Subject(s) - algorithm , sobolev space , mathematics , computer science , mathematical analysis
The pseudoparabolic regularization technique is employed to study the local well-posedness of strong solutions for a nonlinear dispersive model, which includes the famous Camassa-Holm equation. The local well-posedness is established in the Sobolev space Hs(R) with s>3/2 via a limiting procedure
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