Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633021 | Applied Mathematics and Computation | 2010 | 12 Pages |
Abstract
A shallow water equation of Camassa-Holm type, containing nonlinear dissipative effect, is investigated. Using the techniques of the pseudoparabolic regularization and some prior estimates derived from the equation itself, we establish the existence and uniqueness of its local solution in Sobolev space Hs(R) with s>32. Meanwhile, a new lemma and a sufficient condition which guarantee the existence of solutions of the equation in lower order Sobolev space Hs with 1
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shaoyong Lai,