David S. Tartakoff

most citedAnalyticity and loss of derivatives

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2005

Analyticity for Singular Sums of Squares of Degenerate Vector Fields

David S. Tartakoff

In this paper we prove local analytic hypoellipticity for a degenerate sum of squares of complex vector fields generalizing those of Kohn in "Hypoellipticity and Loss of Derivative…

math.AP2005★ 3 cited

Analyticity and loss of derivatives

Makhlouf Derridj, David S. Tartakoff

We prove local real analytic hypoellipticity for a sum of squares of complex vector fields studied by J.J. Kohn in a paper to appear in the Annals of Mathematics entitled "Hypoelli…

math.AP2005

Analytic Hypoellipticity for a Class of Sums of Squares of Vector Fields with Non-Symplectic Characteristic Variety

Antonio Bove, Makhlouf Derridj, David S. Tartakoff

The recent example of Hanges: $P = \partial_{t}^{2} + t^{2} Δ_{x} + \partial_{θ (x)}^{2}$ in $R^{3}$ is analytic hypoelliptic in the sense of germs but not in the strong sense in any neighborhoo…