| Full text | |
| Author(s): |
da Silva, Priscila L.
Total Authors: 1
|
| Document type: | Journal article |
| Source: | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS; v. N/A, p. 21-pg., 2022-09-27. |
| Abstract | |
In this work we study the Cauchy problem in Gevrey spaces for a generalized class of equations that contains the case b = 0 of the b-equation. For the generalized equation, we prove that it is locally well-posed for initial data in Gevrey spaces. Moreover, as we move to global well-posedness, we show that for a particular choice of the parameter in the equation the local solution is global analytic in both time and spatial variables. (AU) | |
| FAPESP's process: | 19/23688-4 - Properties for solutions of evolution equations |
| Grantee: | Priscila Leal da Silva |
| Support Opportunities: | Regular Research Grants |