| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Fed Sao Carlos, Dept Math, BR-13565905 Sao Carlos, SP - Brazil
[2] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 - USA
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 497, n. 2 MAY 15 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
The initial value problem for a system of modified Korteweg-deVries equations with data that are analytic on R and having uniform radius of analyticity r(0) is studied. After proving an analytic version of known trilinear estimates in Sobolev spaces, local well-posedness is established and persistence of the radius of spatial analyticity is shown till some time T-0. Then, for time t >= T-0 it is proved that the radius of spatial analyticity is bounded from below by ct(-(2 +epsilon)), for any epsilon > 0. (C) 2021 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 17/12499-0 - Analytic and Gevrey well-posedness for the "good" Boussinesq equation |
| Grantee: | Renata de Oliveira Figueira |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 15/24109-7 - Analytic and Gevrey well-posedness of the "good" Boussinesq equation |
| Grantee: | Renata de Oliveira Figueira |
| Support Opportunities: | Scholarships in Brazil - Doctorate |