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...
Збережено в:
| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2006 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
|
| Назва видання: | Нелинейные граничные задачи |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/124669 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-124669 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1246692017-10-02T03:02:38Z Nonlinear estimates approach to the non-lipschitz gap between boundedness and continuity in C-properties of infinite dimensional semigroups Antoniouk, A.Val. Antoniouk, A.Vict. 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. 2006 Article 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 en Нелинейные граничные задачи Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Antoniouk, A.Val. Antoniouk, A.Vict. |
| spellingShingle |
Antoniouk, A.Val. Antoniouk, A.Vict. Nonlinear estimates approach to the non-lipschitz gap between boundedness and continuity in C-properties of infinite dimensional semigroups Нелинейные граничные задачи |
| author_facet |
Antoniouk, A.Val. Antoniouk, A.Vict. |
| author_sort |
Antoniouk, A.Val. |
| title |
Nonlinear estimates approach to the non-lipschitz gap between boundedness and continuity in C-properties of infinite dimensional semigroups |
| title_short |
Nonlinear estimates approach to the non-lipschitz gap between boundedness and continuity in C-properties of infinite dimensional semigroups |
| title_full |
Nonlinear estimates approach to the non-lipschitz gap between boundedness and continuity in C-properties of infinite dimensional semigroups |
| title_fullStr |
Nonlinear estimates approach to the non-lipschitz gap between boundedness and continuity in C-properties of infinite dimensional semigroups |
| title_full_unstemmed |
Nonlinear estimates approach to the non-lipschitz gap between boundedness and continuity in C-properties of infinite dimensional semigroups |
| title_sort |
nonlinear estimates approach to the non-lipschitz gap between boundedness and continuity in c-properties of infinite dimensional semigroups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/124669 |
| citation_txt |
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. |
| series |
Нелинейные граничные задачи |
| work_keys_str_mv |
AT antonioukaval nonlinearestimatesapproachtothenonlipschitzgapbetweenboundednessandcontinuityincpropertiesofinfinitedimensionalsemigroups AT antonioukavict nonlinearestimatesapproachtothenonlipschitzgapbetweenboundednessandcontinuityincpropertiesofinfinitedimensionalsemigroups |
| first_indexed |
2023-10-18T20:46:53Z |
| last_indexed |
2023-10-18T20:46:53Z |
| _version_ |
1796151092947451904 |