Concepedia

Sums of squares of complex vector fields and (analytic-) hypoellipticity

Antonio Bove, Makhlouf Derridj, J. J. Kohn, David S. Tartakoff

Mathematical Research Letters · 2006 · 16 citations · 5 references

DOIFull text

Open access

Concepts

Abstract

We prove hypoellipticity with loss of k-1 m derivatives in two ways using different a priori estimates, together with analytic hypoellipticity, for

References

5

Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the -neumann problem

François Trèves · Communications in Partial Differential Equations · 1978 · 146 citations

, , +10

Hypoellipticity and loss of derivatives (with an Appendix by Makhlouf Derridj and David S. Tartakoff)

J. J. Kohn, Makhlouf Derridj, David S. Tartakoff · Annals of Mathematics · 2005 · 55 citations · Full text

, , +8

Optimal non-isotropic gevrey exponents for sums of squares of vector fields

Antonio Bove, Tartakoff David · Communications in Partial Differential Equations · 1997 · 45 citations

, , +4

Local analyticity for □<sub>b</sub>and the ∂_-neumann probelm at certain weakly pseudoconvex points

Makhlouf Derridj, David S. Tartakoff · Communications in Partial Differential Equations · 1988 · 20 citations

, , +5

A remark on sums of squares of complex vector fields

Michael Christ · ArXiv.org · 2005 · 10 citations · Full text

, , +4