Wave Front Set Of Solutions To Sums Of Squares Of Vector Fields
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Wave Front Set of Solutions to Sums of Squares of Vector Fields
Author: Paolo Albano
language: en
Publisher: American Mathematical Soc.
Release Date: 2013-01-25
The authors 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. They prove hypoanalyticity for several classes of sums of squares and show that their method, though not general, includes almost every known hypoanalyticity result. Examples are discussed.
Wave Front Set of Solutions to Sums of Squares of Vector Fields
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.
A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations with Inverse Square Potentials
Author: Florica C. Cîrstea
language: en
Publisher: American Mathematical Soc.
Release Date: 2014-01-08
In particular, for b = 1 and λ = 0, we find a sharp condition on h such that the origin is a removable singularity for all non-negative solutions of [[eqref]]one, thus addressing an open question of Vázquez and Véron.