| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4613308 | Journal of Differential Equations | 2007 | 20 Pages |
Abstract
We consider a dissipative version of the modified Korteweg–de Vries equation ut+uxxx−uxx+(u3)x=0. We prove global well-posedness results on the associated Cauchy problem in the Sobolev spaces Hs(R) for s>−1/4 while for s<−1/2 we prove some ill-posedness issues.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
