Hypoellipticity of the ∂-Neumann problem by means of\n subelliptic multipliers

2014/01/09 by Luca Baracco, Baracco, Luca, Stefano Pinton +3
Mathematics · #32F10 #32F20 #32N15 #32T25 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1401.2210

openalex publication_date 2014/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove local hypoellipticity of the complex Laplacian Box and of the\nKohn Laplacian Box_b in a pseudoconvex boundary when, for a system of\ncut-off \η, the gradient \∂_b\η and the Levi form\n\∂_b ∂_b\η² are subelliptic multipliers in the sense of\nKohn.\n

Citations

• Propagation of regularity for solutions of the Kohn Laplacian in a flat boundary

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