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

Autor: Alexander Val. Antoniouk, Alexandra Vict. Antoniouk
Jazyk: angličtina
Rok vydání: 2006
Předmět:
Zdroj: Condensed Matter Physics, Vol 9, Iss 1, Pp 5-14 (2006)
Druh dokumentu: article
ISSN: 1607-324X
DOI: 10.5488/CMP.9.1.5
Popis: 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.
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