Nonlinear estimates approach to the non-lipschitz gap between boundedness and continuity in C-properties of infinite dimensional semigroups

• Published in: Нелинейные граничные задачи
• Date: 2006
• ISSN: 0236-0497
• Main Authors: Antoniouk, A.Val., Antoniouk, A.Vict.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124669
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A.Val. Antoniouk, A.Vict. Antoniouk / A.Val. Antoniouk, A.Vict. Antoniouk // Нелинейные граничные задачи. — 2006. — Т. 16. — С. 3-26. — Бібліогр.: 26 назв. — англ.

This paper is aimed to discuss an intrinsic effect on the presence of the certain gap between the boundedness and continuity topologies for derivatives of infinite dimensional semigroups that describe evolution of unbounded lattice spin systems. This gap is influenced by the non-Lipschitz order of c...