Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617044 | Journal of Mathematical Analysis and Applications | 2012 | 5 Pages |
Abstract
We present ill-posedness results for the initial value problem (IVP) for the Gardner equation. We measure the regularity of the Cauchy problem in the classical Sobolev spaces Hs, and show the critical Sobolev index under which the local well-posedness of the problem is not present, in the sense that the dependence of solutions upon initial data fails to be continuous.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Miguel A. Alejo,