Local solvability for \(\overline{\partial}\) with Gevrey regularity up to the boundary of a \(r\)- convex domain

DOI10.1007/BF02571906zbMath0816.32013MaRDI QIDQ1346353

Vincent Michel

Publication date: 16 July 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174731

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items (5)

On the solvability of linear partial differential equations in spaces of hyperfunctions ⋮ Principe de Hartogs dans les variétés CR. (The Hartogs principle for CR manifolds) ⋮ Gevrey local solvability in locally integrable structures ⋮ Gevrey solvability and Gevrey regularity in differential complexes associated to locally integrable structures ⋮ Local solvability of the \(\overline\partial\)-equation with boundary regularity on weakly \(q\)-convex domains

Cites Work

• \({\bar \partial}\)-problem on weakly \(q\)-convex domains
• Local maximum property and q-plurisubharmonic functions in uniform algebras
• Holomorphic approximation of ultradifferentiable functions
• Sur l'opérateur \(d\) et les fonctions différentiables au sens de Whitney
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Théorèmes de finitude pour la cohomologie des espaces complexes
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
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