Browsing by Author "Hennig D., Karachalios N.I."
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Dynamics of nonlocal and local discrete Ginzburg–Landau equations: Global attractors and their congruence
Hennig D., Karachalios N.I. (2022)Discrete Ginzburg–Landau (DGL) equations with non-local nonlinearities have been established as significant inherently discrete models in numerous physical contexts, similar to their counterparts with local nonlinear terms. ... -
Erratum: 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] (Nonlinear Analysis (2022) 215, (S0362546X21002443), (10.1016/j.na.2021.112647))
Hennig D., Karachalios N.I. (2022)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 ... -
Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear klein-gordon lattices in ℤd, d ≥ 1
Hennig D., Karachalios N.I. (2022)We prove the existence of exponentially and superexponentially localized breather solutions for discrete nonlinear Klein-Gordon systems. Our approach considers d-dimensional infinite lattice models with general on-site ... -
Existence of exponentially spatially localized breather solutions for lattices of nonlinearly coupled particles: Schauder's fixed point theorem approach
Hennig D., Karachalios N.I. (2021)The problem of showing the existence of localized modes in nonlinear lattices has attracted considerable efforts not only from the physical but also from the mathematical viewpoint where a rich variety of methods have been ...