| Full text | |
| Author(s): |
Figueira, Renata O.
;
Nogueira, Marcelo
;
Panthee, Mahendra
Total Authors: 3
|
| Document type: | Journal article |
| Source: | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 75, n. 4, p. 14-pg., 2024-08-01. |
| Abstract | |
In this paper, we study the Cauchy problem for a system of nonlinear Schrodinger equations with quadratic interactions and initial data belonging to a class of analytic Gevrey functions. Here, we present a local well-posedness result in the analytic Gevrey class G(sigma,s )x G(sigma,s )by proving some bilinear estimates in Bourgain's space with exponential weight. Furthermore, we prove that the obtained solution can be extended to any time T>0, as long as the radius of the spatialanalyticity sigma is bounded below by cT(-2), if 0 < a < 1/2, or cT(-4),if a>1/2. (AU) | |
| FAPESP's process: | 23/06416-6 - Nonlinear phenomena and dispersion |
| Grantee: | Mahendra Prasad Panthee |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 21/04999-9 - Evolution of the radius of analyticity for dispersive equations and systems involving them |
| Grantee: | Renata de Oliveira Figueira |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |