ℓp-Solution to the Initial Value Problem of the Discrete Nonlinear Schrödinger Equation with Complex Potential, II
Guoping Zhang and Ghder Aburamyah
Department of Mathematics, Morgan State University, Baltimore, MD 21251, USA
Received on October 3, 2023,
Accepted on January 20, 2024
Communicated by Gaston M. N'Guérékata
| Abstract. In this paper, we prove the global well-posedness of the initial value problem of the time-dependent discrete nonlinear Schrödinger equation with a complex potential and sufficiently general nonlinearity on a multidimensional lattice in weighted ℓp spaces in the case 2 | |
| Keywords: | Discrete nonlinear Schrödinger equation, semigroup, initial value problem, Lipschitz continuous, complex potential, ℓp solution. |
| 2010 Mathematics Subject Classification: 37L60, 35B41, 35Q55. | |