Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems
Репозиторій DSpace/Manakin
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Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems
Інші назви:
Нелінійні ефекти в задачах регулярності для нескінченновимірних еволюцій необмежених спінових систем
Інший ID:
PACS: 02.30.Jr, 02.30.Sa, 02.30.Xx, 02.50.Eu,03.654.Db, 05.50.+q, 75.10.Hk
DOI:10.5488/CMP.9.1.5
DOI:10.5488/CMP.9.1.5
Посилання:
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.
Підтримка:
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.
Дата:
2006
Переглядів:
646
Завантажень:
343
Анотація:
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.
