Article ID Journal Published Year Pages File Type
5024561 Nonlinear Analysis: Theory, Methods & Applications 2017 13 Pages PDF
Abstract
In this paper we consider the nonlinear fractional logarithmic Schrödinger equation. By using a compactness method, we construct a unique global solution of the associated Cauchy problem in a suitable functional framework. We also prove the existence of ground states as minimizers of the action on the Nehari manifold. Finally, we prove that the set of minimizers is a stable set for the initial value problem, that is, a solution whose initial data is near the set will remain near it for all time.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
,