Well-posedness of a higher-order Schrödinger–Poisson–Slater system

Abstract In this paper, we show the global well-posedness of a higher-order nonlinear Schrödinger equation. Specifically, we consider a system of infinitely many coupled higher-order Schrödinger–Poisson–Slater equations with a self-consistent Coulomb potential. We prove the existence and uniqueness...

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Bibliographic Details
Main Author: Saber Trabelsi
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1102-z