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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2006-01-01
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| Series: | Condensed Matter Physics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.5488/CMP.9.1.5 |
| Summary: | 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. |
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| ISSN: | 1607-324X |