Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems
We study the regularity problems for unbounded spin systems of anharmonic oscillators, that approximate multi-dimensional Euclidean field theories. The main attention is paid to the effect of anharmonism on the C∞-regularity properties of evolutional semigroup. Our approach is based on a new class...
Saved in:
| Published in: | Condensed Matter Physics |
|---|---|
| Date: | 2006 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2006
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/121278 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems / A.V. Antoniouk, A.V. Antoniouk // Condensed Matter Physics. — 2006. — Т. 9, № 1(45). — С. 5-14. — Бібліогр.: 18 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-121278 |
|---|---|
| record_format |
dspace |
| spelling |
Antoniouk, A.Val. Antoniouk, A.Vict. 2017-06-13T20:20:07Z 2017-06-13T20:20:07Z 2006 Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems / A.V. Antoniouk, A.V. Antoniouk // Condensed Matter Physics. — 2006. — Т. 9, № 1(45). — С. 5-14. — Бібліогр.: 18 назв. — англ. 1607-324X PACS: 02.30.Jr, 02.30.Sa, 02.30.Xx, 02.50.Eu,03.654.Db, 05.50.+q, 75.10.Hk DOI:10.5488/CMP.9.1.5 https://nasplib.isofts.kiev.ua/handle/123456789/121278 We study the regularity problems for unbounded spin systems of anharmonic oscillators, that approximate multi-dimensional Euclidean field theories. The main attention is paid to the effect of anharmonism on the C∞-regularity properties of evolutional semigroup. Our approach is based on a new class of nonlinear estimates on variations, that permit to obtain regular properties for essentially nonlinear equations. Authors are grateful to the referee for careful reading the manuscript as well as for making several suggestions for its improvement. A warm hospitality of organizers during the conference in Lviv is much appreciated. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems Нелінійні ефекти в задачах регулярності для нескінченновимірних еволюцій необмежених спінових систем Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems |
| spellingShingle |
Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems Antoniouk, A.Val. Antoniouk, A.Vict. |
| title_short |
Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems |
| title_full |
Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems |
| title_fullStr |
Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems |
| title_full_unstemmed |
Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems |
| title_sort |
nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems |
| author |
Antoniouk, A.Val. Antoniouk, A.Vict. |
| author_facet |
Antoniouk, A.Val. Antoniouk, A.Vict. |
| publishDate |
2006 |
| language |
English |
| container_title |
Condensed Matter Physics |
| publisher |
Інститут фізики конденсованих систем НАН України |
| format |
Article |
| title_alt |
Нелінійні ефекти в задачах регулярності для нескінченновимірних еволюцій необмежених спінових систем |
| description |
We study the regularity problems for unbounded spin systems of anharmonic oscillators, that approximate
multi-dimensional Euclidean field theories. The main attention is paid to the effect of anharmonism on the
C∞-regularity properties of evolutional semigroup. Our approach is based on a new class of nonlinear estimates
on variations, that permit to obtain regular properties for essentially nonlinear equations.
|
| issn |
1607-324X |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/121278 |
| citation_txt |
Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems / A.V. Antoniouk, A.V. Antoniouk // Condensed Matter Physics. — 2006. — Т. 9, № 1(45). — С. 5-14. — Бібліогр.: 18 назв. — англ. |
| work_keys_str_mv |
AT antonioukaval nonlineareffectsintheregularityproblemsforinfinitedimensionalevolutionsofunboundedspinsystems AT antonioukavict nonlineareffectsintheregularityproblemsforinfinitedimensionalevolutionsofunboundedspinsystems AT antonioukaval nelíníiníefektivzadačahregulârnostídlâneskínčennovimírnihevolûcíineobmeženihspínovihsistem AT antonioukavict nelíníiníefektivzadačahregulârnostídlâneskínčennovimírnihevolûcíineobmeženihspínovihsistem |
| first_indexed |
2025-12-07T16:21:06Z |
| last_indexed |
2025-12-07T16:21:06Z |
| _version_ |
1850867152541712384 |