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...
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| Date: | 2006 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2006
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/121278 |
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| 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. |