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<sup>∞</sup>-regularity properties of evolutional semigroup. Our approach is...

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Main Authors:	Alexander Val. Antoniouk, Alexandra Vict. Antoniouk
Format:	Article
Language:	English
Published:	Institute for Condensed Matter Physics 2006-01-01
Series:	Condensed Matter Physics
Subjects:	anharmonic lattice spin systems nonlinear regularity problems
Online Access:	http://dx.doi.org/10.5488/CMP.9.1.5

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spelling	doaj-5abc0b76203b4a3e99e3792f5bfa66be2020-11-25T00:56:07ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2006-01-019151410.5488/CMP.9.1.5Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systemsAlexander Val. AntonioukAlexandra Vict. AntonioukWe 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<sup>∞</sup>-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.http://dx.doi.org/10.5488/CMP.9.1.5anharmonic lattice spin systemsnonlinear regularity problems
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Alexander Val. Antoniouk Alexandra Vict. Antoniouk
spellingShingle	Alexander Val. Antoniouk Alexandra Vict. Antoniouk Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems Condensed Matter Physics anharmonic lattice spin systems nonlinear regularity problems
author_facet	Alexander Val. Antoniouk Alexandra Vict. Antoniouk
author_sort	Alexander Val. Antoniouk
title	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_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_sort	nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems
publisher	Institute for Condensed Matter Physics
series	Condensed Matter Physics
issn	1607-324X
publishDate	2006-01-01
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<sup>∞</sup>-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.
topic	anharmonic lattice spin systems nonlinear regularity problems
url	http://dx.doi.org/10.5488/CMP.9.1.5
work_keys_str_mv	AT alexandervalantoniouk nonlineareffectsintheregularityproblemsforinfinitedimensionalevolutionsofunboundedspinsystems AT alexandravictantoniouk nonlineareffectsintheregularityproblemsforinfinitedimensionalevolutionsofunboundedspinsystems
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Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems

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