| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4612802 | Journal of Differential Equations | 2009 | 17 Pages |
Abstract
The local well-posedness for the generalized two-dimensional (2D) Ginzburg–Landau equation is obtained for initial data in Hs(R2) (s>1/2). The global result is also obtained in Hs(R2) (s>1/2) under some conditions. The results on local and global well-posedness are sharp except the endpoint s=1/2. We mainly use the Tao's [k;Z]-multiplier method to obtain the trilinear and multilinear estimates.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
