HYPOELLIPTICITY OF THE KOHN LAPLACIAN FOR THREE-DIMENSIONAL TUBULAR CAUCHY–RIEMANN STRUCTURES

DOI10.1017/S1474748002000063zbMath1038.32031OpenAlexW4240063619MaRDI QIDQ4437525

Michael Christ

Publication date: 2 December 2003

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1474748002000063

zbMATH Keywords

hypoellipticityKohn Laplacianpseudoconvex

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) CR manifolds as boundaries of domains (32V15) Hypoelliptic equations (35H10) Analysis on CR manifolds (32V20) Geometric and analytic invariants on weakly pseudoconvex boundaries (32T27)

Related Items (7)

Regularity of the \(\bar {\partial }\)-Neumann problem at point of infinite type ⋮ Propagation of holomorphic extendibility and non-hypoellipticity of the \(\bar \partial\)-Neumann problem in an exponentially degenerate boundary ⋮ A multiplier condition for hypoellipticity of complex vector fields with optimal loss of derivatives ⋮ Propagation of CR extendibility at the vertex of a complex sector ⋮ Hypoellipticity of the Kohn-Laplacian \(\square_b\) and of the \(\bar{\partial}\)-Neumann problem by means of subelliptic multipliers ⋮ Estimates for regularity of the tangential \documentclass{article}\usepackage{amssymb,amsmath}\begin{document}\pagestyle{empty}$\bar{\partial }$\end{document}-system ⋮ Loss of derivatives for systems of complex vector fields and sums of squares

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