Results 71 to 80 of about 154 (95)
A class of globally analytic hypoelliptic operators on compact Lie groups
We obtain global analytic hypoellipticity for a class of differential operators that can be expressed as a zero-order perturbation of a sum of squares of vector fields with real-analytic coefficients on compact Lie groups.
Rodrigues, Nicholas Braun +1 more
core
Hypoellipticity and analytic hypoellipticity of operators with double characteristics
, 1986 Kwon, Kil Hyun
core
Analytic and Gevrey hypoellipticity for perturbed sums of squares operators
Annali Di Matematica Pura Ed Applicata, 2017 We prove a couple of results concerning pseudodifferential perturbations of differential operators being sums of squares of vector fields and satisfying Hörmander’s condition.
Antonio Bove +2 more
exaly +2 more sources
Nonlinear eigenvalues and analytic hypoellipticity
Journal of Functional Analysis, 2004 Motivated by the problem of analytic hypoellipticity, we show that a special family of compact non-self-adjoint operators has a nonzero eigenvalue. We recover old results obtained by ordinary differential equations techniques and show how it can be ...
Sagun Chanillo +2 more
exaly +2 more sources
Analytic and Gevrey hypoellipticity for a class of pseudodifferential operators in one variable
Journal of Differential Equations, 2013 We study the hypoellipticity of (pseudo)differential operators in one variable when a positivity assumption is made on a suitable principal part.
Antonio Bove, Marco Mughetti
exaly +2 more sources
Global Gevrey hypoellipticity for twisted Laplacians
Journal of Pseudo-Differential Operators and Applications, 2013 In this paper we study global Gevrey/analytic hypoellipticity of the anisotropic twisted Laplacian L(p,q), depending on the powers p_j , q_j , 1 ≤ j ≤ n, which determine the anisotropy.
Wei-Xi Li +2 more
exaly +2 more sources
Analytic hypoellipticity in the presence of nonsymplectic characteristic points
Journal of Functional Analysis, 2006 Recently, N. Hanges proved that the operatorP=∂t2+t2Δx+∂θ(x)2 in R3 is analytic hypoelliptic in the sense of germs at the origin and yet fails to be analytic hypoelliptic ‘in the strong sense’ in any neighborhood of the origin (there is no neighborhood U
Antonio Bove +2 more
exaly +2 more sources