Singular Sums of Squares of Degenerate Vector Fields

Details Singular Sums of Squares of Degenerate Vector Fields Singular Sums of Squares of Degenerate Vector Fields

2006-01-22

arxiv.org/abs/math/0601523v1

Mathematical Research Letters {\bf 13} (5), (2006), pp.~683-702.

Mathematics

Analysis of PDEs

19 pages

Scientific paper

We simplify and give an alternative proof of hypoellipticity for generalizations of the singular sum of squares of complex vector fields studied by Kohn, with an appendix by Derridj and Tartakoff, in the Annals of Mathematics, vol. 162 no. 2, 2005, pp. 943-986. The main generalization is that the complex vector fields now come from domains of finite type. We also prove real analytic hypoellipticity and the optimality of our estimates.

Affiliated with

Also associated with

No associations

Rating

Singular Sums of Squares of Degenerate Vector Fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Singular Sums of Squares of Degenerate Vector Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singular Sums of Squares of Degenerate Vector Fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-607284