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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: in is analytic hypoelliptic in the sense of germs but not in the strong sense in any neighborhoo…
math.AP2003
Global Analytic Hypoellipticity for a Class of Quasilinear Sums of Squares of Vector Fields
Makhlouf Derridj, David S. Tartakoff
A global real analytic regularity theorem for a quasilinear sum of squares of vector fields of Hormander rank 2 is given. A related local result for a special case was proved recen…