Nonlinear estimates approach to the non-lipschitz gap between boundedness and continuity in C-properties of infinite dimensional semigroups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Nonlinear estimates approach to the non-lipschitz gap between boundedness and continuity in C-properties of infinite dimensional semigroups
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| Creator |
Antoniouk, A.Val.
Antoniouk, A.Vict. |
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| Description |
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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| Date |
2017-10-01T16:34:00Z
2017-10-01T16:34:00Z 2006 |
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| Type |
Article
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| Identifier |
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.
0236-0497 MSC (2000): 60H99. 35K55. 35B45, 35B65, 82B31 http://dspace.nbuv.gov.ua/handle/123456789/124669 |
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| Language |
en
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| Relation |
Нелинейные граничные задачи
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| Publisher |
Інститут прикладної математики і механіки НАН України
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