Results 1 to 10 of about 154 (95)

Analytic Hypoellipticity and the Treves Conjecture [PDF]

Bruno Pini Mathematical Analysis Seminar, 2016
We are concerned with the problem of the analytic hypoellipticity; precisely, we focus on the real analytic regularity of the solutions of sums of squares with real analytic coefficients. Treves conjecture states that an operator of this type is analytic
Marco Mughetti
doaj   +2 more sources

Hypoellipticity and Non Hypoellipticity for Sums of Squares of Complex Vector Fields

Bruno Pini Mathematical Analysis Seminar, 2011
In this talk we give a report on a paper where we consider a model sum of squares of planar complex vector fields, being close to Kohn's operator but with a point singularity.
Antonio Bove
doaj   +1 more source

Graded hypoellipticity of BGG sequences. [PDF]

Ann Glob Anal Geom (Dordr), 2022
This article studies hypoellipticity on general filtered manifolds. We extend the Rockland criterion to a pseudodifferential calculus on filtered manifolds, construct a parametrix and describe its precise analytic structure.
Dave S, Haller S.
europepmc   +2 more sources

On the regularity of the solutions and of analytic vectors for “sums of squares”

Bruno Pini Mathematical Analysis Seminar, 2023
We present a brief survey on some recent results concerning the local and global regularity of the solutions for some classes/models of sums of squares of vector fields with real-valued real analytic coefficients of H"ormander type.
Gregorio Chinni
doaj   +1 more source

Some advances in analytic hypoellipticity

Bruno Pini Mathematical Analysis Seminar
We present a brief survey on the theory of the real analytic regularity for the solutions to sums of squares of vector fields satisfying the Hörmander condition.
Marco Mughetti
doaj   +1 more source

Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]

J Geom Anal, 2022
Haller S.
europepmc   +1 more source

A Cortical-Inspired Sub-Riemannian Model for Poggendorff-Type Visual Illusions. [PDF]

J Imaging, 2021
Baspinar E, Calatroni L, Franceschi V, Prandi D.   +3 more
europepmc   +1 more source

Trend to equilibrium for the kinetic Fokker-Planck equation via the neural network approach. [PDF]

J Comput Phys, 2020
Hwang HJ, Jang JW, Jo H, Lee JY.
europepmc   +1 more source

Ornstein-Uhlenbeck semigroups in infinite dimension. [PDF]

Philos Trans A Math Phys Eng Sci, 2020
Lunardi A, Pallara D.
europepmc   +1 more source

The Heat Asymptotics on Filtered Manifolds. [PDF]

J Geom Anal, 2020
Dave S, Haller S.
europepmc   +1 more source