A theorem of minimal microlocal Gevrey regularity is proved for operators that are sums of squares of vector fields with real analytic coefficients, thus providing a microlocal version of a well-known theorem of Derridj and Zuily("Regularite analytique et Gevrey d'operateurs elliptiques degeneres," Journal de Mathematiques Pures et Appliquees 52 (1973): 65-80).
P. Albano, A. Bove, G. Chinni (2009). Minimal Microlocal Gevrey Regularity for "Sums of Squares". INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 12(12), 2275-2302 [10.1093/imrp/rnp016].
Minimal Microlocal Gevrey Regularity for "Sums of Squares"
ALBANO, PAOLO;BOVE, ANTONIO;CHINNI, GREGORIO
2009
Abstract
A theorem of minimal microlocal Gevrey regularity is proved for operators that are sums of squares of vector fields with real analytic coefficients, thus providing a microlocal version of a well-known theorem of Derridj and Zuily("Regularite analytique et Gevrey d'operateurs elliptiques degeneres," Journal de Mathematiques Pures et Appliquees 52 (1973): 65-80).File in questo prodotto:
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