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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Bibliographic Details
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:
Online Access:http://dx.doi.org/10.5488/CMP.9.1.5