Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems

dc.contributor.author	Antoniouk, A.Val.
dc.contributor.author	Antoniouk, A.Vict.
dc.date.accessioned	2017-06-13T20:20:07Z
dc.date.available	2017-06-13T20:20:07Z
dc.date.issued	2006
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1607-324X
dc.identifier.other	PACS: 02.30.Jr, 02.30.Sa, 02.30.Xx, 02.50.Eu,03.654.Db, 05.50.+q, 75.10.Hk
dc.identifier.other	DOI:10.5488/CMP.9.1.5
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/121278
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	Authors are grateful to the referee for careful reading the manuscript as well as for making several suggestions for its improvement. A warm hospitality of organizers during the conference in Lviv is much appreciated.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут фізики конденсованих систем НАН України	uk_UA
dc.relation.ispartof	Condensed Matter Physics
dc.title	Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems	uk_UA
dc.title.alternative	Нелінійні ефекти в задачах регулярності для нескінченновимірних еволюцій необмежених спінових систем	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA