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Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear klein-gordon lattices in ℤd, d ≥ 1
dc.creator | Hennig D., Karachalios N.I. | en |
dc.date.accessioned | 2023-01-31T08:28:05Z | |
dc.date.available | 2023-01-31T08:28:05Z | |
dc.date.issued | 2022 | |
dc.identifier | 10.1017/S0013091522000189 | |
dc.identifier.issn | 00130915 | |
dc.identifier.uri | http://hdl.handle.net/11615/73949 | |
dc.description.abstract | 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 potentials and interaction potentials being bounded by an arbitrary power law, as well as, systems with purely anharmonic forces, cases which are much less studied particularly in a higherdimensional set-up. The existence problem is formulated in terms of a fixed-point equation considered in weighted sequence spaces, which is solved by means of Schauder's Fixed-Point Theorem. The proofs provide energy bounds for the solutions depending on the lattice parameters and its dimension under physically relevant non-resonance conditions. Copyright © The Author(s), 2022. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society. | en |
dc.language.iso | en | en |
dc.source | Proceedings of the Edinburgh Mathematical Society | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85133825720&doi=10.1017%2fS0013091522000189&partnerID=40&md5=976e6fc65ff9e76f854bca6a737fa3cc | |
dc.subject | Cambridge University Press | en |
dc.title | Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear klein-gordon lattices in ℤd, d ≥ 1 | en |
dc.type | journalArticle | en |
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