Global analyticity for□bon three dimensional pseudoconvex cr manifolds

DOI10.1080/03605309308820996zbMath0791.35087OpenAlexW2025203459MaRDI QIDQ4275304

David S. Tartakoff, Makhlouf Derridj

Publication date: 18 July 1994

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309308820996

zbMATH Keywords

strongly pseudoconvex domainreal analytic hypoellipticitypseudoconvex CR manifoldglobal real analytic regularity

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (10)

Unnamed Item ⋮ Regularity of a class of subLaplacians on the 3-dimensional torus ⋮ Microlocal analyticity for \(\square_ b\) in block-decoupled pseudoconvex domains ⋮ On composite ultradifferentiable functions ⋮ Microlocal analyticity for the canonical solution to on Some Rigid Weakly Pseudoconvex Hypersurfaces in C² ⋮ Microlocal analyticity for the canonical solution to on Strictly Pseudoconvex CR Mainfolds of Real Dimension Three ⋮ On some systems of real or complex vector fields and their related Laplacians ⋮ Global (and local) analyticity for second order operators constructed from rigid vector fields on products of tori ⋮ Global analytic regularity for sums of squares of vector fields ⋮ Global analytic, Gevrey and C∞ hypoellipticity on the 3-torus

Cites Work

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• The range of the tangential Cauchy-Riemann operator
• Global analytic hypoellipticity of the \({\bar \partial}\)-Neumann problem on circular domains
• The local real analyticity of solutions to d'Alembert-Operator(b) and the (partial d)--Neumann problem
• Estimations along components for the \(\bar{\partial}\)-Neumann problem for some classes of pseudoconvex domains in \(\mathbb{C}^ n\).
• Local analyticity for the \(\bar {\partial{}}\)-Neumann problem and \({\square{}}_ b\) -- some model domains without maximal estimates
• Counterexamples to analytic hypoellipticity for domains of finite type
• Global analytic-hypoellipticity of the \(\overline\partial\)-Neumann problem
• Pseudoconvex domains with real-analytic boundary
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Pseudo-differential operators and Gevrey classes
• Opérateurs pseudo-différentiels analytiques et opérateurs d'ordre infini. (Analytic pseudo-differential operators and operators of infinite order.)
• Local analytic hypoellipticity for □ _b on nondegenerate Cauchy—Riemann manifolds
• Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the -neumann problem
• Editorial board

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