L\({}^ 2\) existence theorems for the \({\bar \partial}_ b\)-Neumann problem on strongly pseudoconvex CR manifolds

DOI10.1007/BF02938117zbMath0729.32008MaRDI QIDQ805813

Mei-Chi Shaw

Publication date: 1991

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Hodge decomposition\({\bar \partial }\)-Neumann problempseudo-convex complex manifolds

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Differential complexes (58J10) Overdetermined systems of PDEs with variable coefficients (35N10) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

Boundary regularity for the \(\overline{\partial}_b\)-Neumann problem. I ⋮ Unnamed Item ⋮ Local existence theorems with estimates for \(\bar \partial_ b\) on weakly pseudo-convex CR manifolds ⋮ Non-compactness of the Neumann operator on the Heisenberg ball ⋮ \(L^2\) estimates and existence theorems for \(\overline{\partial}_b\) on Lipschitz boundaries of \(Q\)-pseudoconvex domains

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