Research Communication | Open Access
Volume 2021 | Communication ID 24
Volume 2021 | Communication ID 24
| General decay rates solutions to a nonlinear Schrödinger equation with boundary condition of memory type |
Nawel Abdesselam and Ahcen Boukehila
Received |
Accepted |
Published |
January 14, 2021 |
January 31, 2021 |
March 15, 2021 |
Abstract: We consider the stabilization of the limits of nonlinear Schrödinger equations with memory feedback. This is done using the methods of Riemannian geometry and the technique of multipliers. Then we explore the stabilization limits of the Schrodinger equations of which the elliptical part has a variable coefficient. We have established the exponential decay of the solutions using the multiplier techniques. The introduction of dissipative boundary conditions of the type of memory allowed us to obtain an accurate estimate of the uniform rate decay of energy for Schrödinger equations.