Nonlinear estimates approach to the non-lipschitz gap between boundedness and continuity in C-properties of infinite dimensional semigroups
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...
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| Veröffentlicht in: | Нелинейные граничные задачи |
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| Datum: | 2006 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/124669 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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 corresponding generator's coefficients and to control its precise value we develop the approach of quasi-contractive nonlinear estimates, e.g. [2. 3. 4], and achieve the continuity with respect to the initial data of associated variational equations. In fact the results point that the weighted hierarchies on the boundedness topologies [l, 2] are essential.
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| ISSN: | 0236-0497 |