Le problème de Cauchy pour $\overline \partial$ et application

DOI10.24033/asens.1479zbMath0562.35062OpenAlexW2224575655MaRDI QIDQ3674878

Makhlouf Derridj

Publication date: 1984

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1984_4_17_3_439_0

zbMATH Keywords

\({\bar \partial }\)-problem with exact supportCauchy-problem with support

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

Certain Contributions to the $$\bar {\partial }$$ -Problem ⋮ Local existence theorems with estimates for \(\bar \partial_ b\) on weakly pseudo-convex CR manifolds ⋮ Unnamed Item

Cites Work

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• On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables
• A result on extension of C. R. functions
• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• On the extension of holomorphic functions from the boundary of a complex manifold
• On the H. Lewy Extension Phenomenon

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