Nonexistence of homotopy formula for (0,1) forms on hypersurfaces in \({\mathbb{C}}^ 3\)
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Publication:1262464
DOI10.1215/S0012-7094-89-05838-9zbMath0686.35085OpenAlexW1562396763MaRDI QIDQ1262464
Jean-Pierre Rosay, Alexander Nagel
Publication date: 1989
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-89-05838-9
(overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)
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Local Integrability of Mizohata Structures ⋮ Local existence theorems with estimates for \(\bar \partial_ b\) on weakly pseudo-convex CR manifolds ⋮ Regularity in the local CR embedding problem ⋮ Hypoellipticity on Cauchy-Riemann Manifolds ⋮ Global Mizohata structures ⋮ Existence and nonexistence of homotopy formulas for the Mizohata complex ⋮ CR functions vanishing on open sets. (Almost) complex structures and Cohen's example ⋮ L\({}^ 2\) existence theorems for the \({\bar \partial}_ b\)-Neumann problem on strongly pseudoconvex CR manifolds
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