Well-posedness of the Cauchy problem and stability theory for nonlinear dispersive...
Fractional powers of matrix linear operators and fractional approximations of semi...
| Full text | |
| Author(s): |
Carvajal, Xavier
;
Panthee, Mahendra
Total Authors: 2
|
| Document type: | Journal article |
| Source: | QUARTERLY OF APPLIED MATHEMATICS; v. 74, n. 3, p. 571-594, 2016. |
| Web of Science Citations: | 1 |
| Abstract | |
In this work, we study the initial value problems associated to some linear perturbations of the KdV equation. Our focus is on the well-posedness issues for initial data given in the L-2-based Sobolev spaces. We derive a bilinear estimate in a space with weight in the time variable and obtain sharp local well-posedness results. (AU) | |
| FAPESP's process: | 12/20966-4 - Well-posedness of the Cauchy problem and stability theory for nonlinear dispersive equations |
| Grantee: | Mahendra Prasad Panthee |
| Support Opportunities: | Regular Research Grants |