2004/12/15 by Robert K. Hladky, Hladky, Robert K.
Computer Science · Mathematics · #32V20 #32W10 (primary) #35H20 (secondary) #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.CV #math.DG #msc:32V20 #msc:32W10 #msc:35H20
paper · pdf · doi:10.48550/arxiv.math/0412308
38 pages
arxiv created 2004/12/15 · openalex publication_date 2004/12/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish sharp regularity and Fredholm theorems for the ∂b-Neumann problem on domains satisfying some non-generic geometric conditions. We use these domains to construct explicit examples of bad behaviour of the Kohn Laplacian: it is not always hypoelliptic up to the boundary, its partial inverse is not compact and it is not globally subelliptic.