Note added to proof and corrigendum to "Dynamics of nonlocal and local discrete Ginzburg–Landau equations: Global attractors and their congruence" [Nonlinear Anal. 215 (2022) 112647]. (May 2022)

• Record Type: Journal Article
• Authors: Hennig, Dirk; Karachalios, Nikos I.
• Is Part Of: Nonlinear analysis. Volume 218(2022)
• Publication Date: 2022-05
• Subjects: Lattice systems -- Discrete Ginzburg–Landau systems -- Global attractors; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2022.112808
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this note, we complete the proof of Hennig and Karachalios (2022, Lemma 2.3) with a new result, by treating the case of the critical value of the damping parameter for the non-local Discrete Ginzburg–Landau equation [Hennig and Karachalios, 2022, (1.3)]. Furthermore, we provide a corrigendum regarding the proof of the case 1 of Hennig and Karachalios (2022, Lemma 2.3) described by the condition [Hennig and Karachalios, 2022, (2.16)] on the parameters.