We study the (micro)hypoanalyticity and the Gevrey hypoellipticity of sums of squares of vector fields in terms of the Poisson-Treves stratification. The FBI transform is used. We prove hypoanalyticity for several classes of sums of squares and show that our method, though not general, includes almost every known hypoanalyticity result. Examples are discussed.
Paolo Albano, Antonio Bove (2013). Wave Front Set of Solutions to Sums of Squares of Vector Fields. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 221(1039), 1-91 [10.1090/S0065-9266-2012-00663-0].
Wave Front Set of Solutions to Sums of Squares of Vector Fields
ALBANO, PAOLO;BOVE, ANTONIO
2013
Abstract
We study the (micro)hypoanalyticity and the Gevrey hypoellipticity of sums of squares of vector fields in terms of the Poisson-Treves stratification. The FBI transform is used. We prove hypoanalyticity for several classes of sums of squares and show that our method, though not general, includes almost every known hypoanalyticity result. Examples are discussed.File in questo prodotto:
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