scholarly journals (Semi)-global analytic hypoellipticity for a class of “sums of squares” which fail to be locally analytic hypoelliptic

2018 ◽  
pp. 1 ◽  
Author(s):  
G Chinni
Keyword(s):  
Sums Of Squares ◽  
Analytic Hypoellipticity

scholarly journals Analytic hypoellipticity for sums of squares and the Treves conjecture

2018 ◽  
Vol 274 (10) ◽  
pp. 2725-2753 ◽  
Author(s):  
Paolo Albano ◽  
Antonio Bove ◽  
Marco Mughetti
Keyword(s):  
Sums Of Squares ◽  
Analytic Hypoellipticity

Analytic Hypoellipticity at Non-Symplectic Poisson-Treves Strata for Certain Sums of Squares of Vector Fields

2008 ◽  
Vol 18 (4) ◽  
pp. 1002-1021 ◽  
Author(s):  
Antonio Bove ◽  
David S. Tartakoff
Keyword(s):  
Vector Fields ◽  
Sums Of Squares ◽  
Analytic Hypoellipticity

Analytic hypoellipticity for sums of squares and the Treves conjecture, II

2017 ◽  
Vol 10 (7) ◽  
pp. 1613-1635 ◽  
Author(s):  
Antonio Bove ◽  
Marco Mughetti
Keyword(s):  
Sums Of Squares ◽  
Analytic Hypoellipticity

ANALYTIC HYPOELLIPTICITY FOR SUMS OF SQUARES IN THE PRESENCE OF SYMPLECTIC NON TREVES STRATA

2019 ◽  
Vol 19 (6) ◽  
pp. 1877-1888 ◽  
Author(s):  
Antonio Bove ◽  
Marco Mughetti
Keyword(s):  
Critical Points ◽  
Sums Of Squares ◽  
Characteristic Variety ◽  
The Real ◽  
Real Analytic ◽  
Funct Anal ◽  
Analytic Regularity ◽  
Analytic Hypoellipticity

In Albano, Bove and Mughetti [J. Funct. Anal. 274(10) (2018), 2725–2753]; Bove and Mughetti [Anal. PDE 10(7) (2017), 1613–1635] it was shown that Treves conjecture for the real analytic hypoellipticity of sums of squares operators does not hold. Models were proposed where the critical points causing a non-analytic regularity might be interpreted as strata. We stress that up to now there is no notion of stratum which could replace the original Treves stratum. In the proposed models such ‘strata’ were non-symplectic analytic submanifolds of the characteristic variety. In this note we modify one of those models in such a way that the critical points are a symplectic submanifold of the characteristic variety while still not being a Treves stratum. We show that the operator is analytic hypoelliptic.

scholarly journals Analytic hypoellipticity for sums of squares of vector fields

1998 ◽  
Vol 70 ◽  
pp. 117-129 ◽  
Author(s):  
A. Himonas
Keyword(s):  
Vector Fields ◽  
Sums Of Squares ◽  
Analytic Hypoellipticity

scholarly journals Sums of squares of complex vector fields and (analytic-) hypoellipticity

2006 ◽  
Vol 13 (5) ◽  
pp. 683-701 ◽  
Author(s):  
Antonio Bove ◽  
Makhlouf Derridj ◽  
Joseph J. Kohn ◽  
David S. Tartakoff
Keyword(s):  
Vector Fields ◽  
Sums Of Squares ◽  
Complex Vector ◽  
Analytic Hypoellipticity

Sums of Squares and Triangular Numbers

2006 ◽  
Author(s):  
Hershel Farkas
Keyword(s):  
Sums Of Squares ◽  
Triangular Numbers

scholarly journals Towards a computational proof of Vizing's conjecture using semidefinite programming and sums-of-squares

2021 ◽  
Vol 107 ◽  
pp. 67-105
Author(s):  
Elisabeth Gaar ◽  
Daniel Krenn ◽  
Susan Margulies ◽  
Angelika Wiegele
Keyword(s):  
Semidefinite Programming ◽  
Sums Of Squares
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