arXiv math/06016462006-01-26math.AP

Hypoellipticity and loss of derivatives with Appendix Analyticity and loss of derivatives

Joseph J. Kohn, Makhlouf Derridj, David S. Tartakoff

备注：: 44 pages including appendix
发表信息：: Annals of Mathematics vol. 162 no. 2, September 2005, pp. 943-986

英文摘要：

For each value of k, two complex vector fields satisfying the bracket condition are exhibited the sum of whose squares is hypoelliptic but not subelliptic - in fact the operator loses k-1 derivatives in Sobolev norms. In the Appendix it is proven that this operator is analytic hypoelliptic.

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