9 citations · 10 across the 12 of their papers we have counts for
12 papers
On a Class of Globally Analytic Hypoelliptic Sums of Squares
Antonio Bove, Gregorio Chinni
We consider sums of squares operators globally defined on the torus. We show that if some assumptions are satisfied the operators are globally analytic hypoelliptic. The purpose of…
Optimal Gevrey Regularity for Certain Sums of Squares in Two Variables
Antonio Bove, Marco Mughetti
For , integers such that , , , a neighborhood of the origin in , we consider the operator $$ D_{x}^{2} + x^{…
Partial regularity of minimizers for real-analytic sub-Riemannian metrics
Paolo Albano, Antonio Bove
In the real-analytic setting, we show that all sub-Riemannian minimizers (parametrized by the arc-length) are real-analytic everywhere except an at most countable non-dense set. In…
Analytic and Gevrey Hypoellipticity for Perturbed Sums of Squares Operators
Antonio Bove, Gregorio Chinni
We prove a couple of results concerning pseudodifferential perturbations of differential operators being sums of squares of vector fields and satisfying Hörmander's condition. The…
Analytic Hypoellipticity for Sums of Squares and the Treves Conjecture
Paolo Albano, Antonio Bove, Marco Mughetti
We are concerned with the problem of real analytic regularity of the solutions of sums of squares with real analytic coefficients. Treves conjecture states that an operator of this…
Cauchy problem for effectively hyperbolic operators with triple characteristics of variable multiplicity
Enrico Bernardi, Antonio Bove, Vesselin Petkov
We study a class of third order hyperbolic operators in with triple characteristics at $ρ= (0, x_0, ξ), ξ\in {…