| Texto completo | |
| Autor(es): |
da Silva, Priscila L.
Número total de Autores: 1
|
| Tipo de documento: | Artigo Científico |
| Fonte: | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS; v. N/A, p. 21-pg., 2022-09-27. |
| Resumo | |
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) | |
| Processo FAPESP: | 19/23688-4 - Propriedades para soluções de equações evolutivas |
| Beneficiário: | Priscila Leal da Silva |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |