Regularity of infinite dimensional heat dynamics of unbounded lattice spins with non-constant diffusion coefficients

Below we demonstrate how the C^∞-regular properties of heat dynamics with non-unit nonlinear diffusion coefficient can be studied. We consider an infinite dimensional model, describing evolution of unbounded lattice spins R^Z^d. As a main step we provide a construction of corresponding variational p...

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Datum:2007
Hauptverfasser: Antoniouk, A.Val., Antoniouk, A.Vict.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2007
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/10116
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Regularity of infinite dimensional heat dynamics of unbounded lattice spins with non-constant diffusion coefficients / A.Val. Antoniouk, A.Vict. Antoniouk // Нелинейные граничные задачи. — 2007. — Т. 17. — С. 101-129. — Бібліогр.: 11 назв. — англ.

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