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 base...
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| Veröffentlicht in: | Condensed Matter Physics |
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| Datum: | 2006 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут фізики конденсованих систем НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/121278 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862693706627284992 |
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| author | Antoniouk, A.Val. Antoniouk, A.Vict. |
| author_facet | Antoniouk, A.Val. Antoniouk, A.Vict. |
| 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. |
| collection | DSpace DC |
| container_title | Condensed Matter Physics |
| 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.
|
| first_indexed | 2025-12-07T16:21:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-121278 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1607-324X |
| language | English |
| last_indexed | 2025-12-07T16:21:06Z |
| publishDate | 2006 |
| publisher | Інститут фізики конденсованих систем НАН України |
| 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 |
| spellingShingle | Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems Antoniouk, A.Val. Antoniouk, A.Vict. |
| title | Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems |
| title_alt | Нелінійні ефекти в задачах регулярності для нескінченновимірних еволюцій необмежених спінових систем |
| 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/121278 |
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