Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems
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| Creator |
Antoniouk, A.Val.
Antoniouk, A.Vict. |
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| 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. |
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| Date |
2017-06-13T20:20:07Z
2017-06-13T20:20:07Z 2006 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/121278 |
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| Language |
en
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| Relation |
Condensed Matter Physics
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| Publisher |
Інститут фізики конденсованих систем НАН України
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