| Full text | |
| Author(s): |
Figueroa-Lopez, Rodiak N.
;
Nascimento, Marcelo J. D.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 386, p. 33-pg., 2024-01-04. |
| Abstract | |
We consider non-autonomous nonlinear Schrodinger equation with homogeneous Dirichlet boundary conditions in a bounded smooth domain and time -dependent forcing that models the motion of waves in a quantum-mechanical system. We address the problem of the local and global well posedness and using rescaling of time we prove the existence of a compact pullback attractor for the associated evolution process. Moreover, we prove that the pullback attractor has finite fractal dimension. To the best of our knowledge, our approach has not been used in the literature to treat the non-autonomous Schrodinger equation. (c) 2023 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 20/14075-6 - Dynamical systems and their attractors under perturbations |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 22/16305-4 - Long-time dynamics of semilinear problems |
| Grantee: | Marcelo José Dias Nascimento |
| Support Opportunities: | Regular Research Grants |