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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Datum:2006
Hauptverfasser: Antoniouk, A.Val., Antoniouk, A.Vict.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут фізики конденсованих систем НАН України 2006
Schriftenreihe:Condensed Matter Physics
Online Zugang:http://dspace.nbuv.gov.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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