| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4613249 | Journal of Differential Equations | 2008 | 15 Pages |
Abstract
In this paper we mainly study the Cauchy problem for the generalized shallow water wave equation in the Sobolev space Hs of lower order s. Using the crucial bilinear estimates in the Fourier transform restriction spaces related to the shallow water wave equation, we establish local well-posedness in Hs with any .
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
