In:
Abstract and Applied Analysis, Hindawi Limited, Vol. 2012 ( 2012), p. 1-26
Abstract:
A nonlinear generalization of the Camassa-Holm equation is investigated. By making use of the pseudoparabolic regularization technique, its local well posedness in Sobolev space H S ( R ) with s 〉 3 / 2 is established via a limiting procedure. Provided that the initial value u 0 satisfies the sign condition and u 0 ∈ H s ( R ) ( s 〉 3 / 2 ) , it is shown that there exists a unique global solution for the equation in space C ( [ 0 , ∞ ) ; H s ( R ) ) ∩ C 1 ( [ 0 , ∞ ) ; H s − 1 ( R ) ) .
Type of Medium:
Online Resource
ISSN:
1085-3375
,
1687-0409
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2012
detail.hit.zdb_id:
2064801-7
SSG:
17,1
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