Equation de Lewy-résolubilité globale de l'équation \(\partial_ bu=f\) sur la frontière de domaines faiblement pseudo-convexes de \(C^ 2\) (ou \(C^ n)\)
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Publication:791754
DOI10.1215/S0012-7094-82-04908-0zbMath0536.35022OpenAlexW1572575636MaRDI QIDQ791754
Publication date: 1982
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-82-04908-0
Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)
Related Items
The \(\bar \partial\)-problem with support conditions on some weakly pseudoconvex domains, The range of the tangential Cauchy-Riemann operator, On the extension of CR-functions, Unnamed Item, Local existence theorems with estimates for \(\bar \partial_ b\) on weakly pseudo-convex CR manifolds, Hölder and \(L^ p\) estimates for \({\bar \partial}_ b\) on weakly pseudo-convex boundaries in \({\mathbb C}^ 2\), \(L^2\) estimates and existence theorems for \(\overline{\partial}_b\) on Lipschitz boundaries of \(Q\)-pseudoconvex domains, \(L^ 2\) estimates and existence theorems for the tangential Cauchy-Riemann complex, Sobolev estimates for the Lewy operator on weakly pseudo-convex boundaries
Cites Work
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- An example of a smooth linear partial differential equation without solution
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- Proper holomorphic mappings and the Bergman projection
- On the extension of holomorphic functions from the boundary of a complex manifold
- Necessary and sufficient conditions for solvability of the Lewy equation
- Valeurs au bord pour les solutions de l'opérateur $d^n$, et caractérisation des zéros des fonctions de la classe de Nevanlinna
- THE LEWY EQUATION AND ANALYSIS ON PSEUDOCONVEX MANIFOLDS
- Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
