Loss of derivatives for systems of complex vector fields and sums of squares

2010/09/02 by Tran Vu Khanh, Khanh, Tran Vu, Stefano Pinton +3
Mathematics · #32T25 #32W05 #32W25 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32T25 #msc:32W05 #msc:32W25

paper · pdf · doi:10.48550/arxiv.1009.0486

13 pages

arxiv created 2010/09/02 · openalex publication_date 2010/09/02 · arxiv updated 2010/09/03 · openalex created_date 2022/10/07 · openalex updated_date 2026/07/28

Abstract

We discuss, both for systems of complex vector fields and for sums of squares, the phenomenon discovered by Kohn of hypoellipticity with loss of derivatives.

Related

• A remark on sums of squares of complex vector fields
• Gain/Loss of derivatives for complex vector fields
• Loss of derivatives in the infinite type
• Analytic hypoellipticity in dimension two
• Sums of squares III: hypoellipticity in the infinitely degenerate regime