Global analytic-hypoellipticity of the \(\overline\partial\)-Neumann problem

DOI10.2748/tmj/1178240889zbMath0319.35056OpenAlexW1987426705MaRDI QIDQ1222808

Gen Komatsu

Publication date: 1976

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178240889

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

Global analytic hypoellipticity of the \({\bar \partial}\)-Neumann problem on circular domains ⋮ Global real analyticity of solutions to the \({\bar \partial}\)-Neumann problem ⋮ Global analyticity for□^bon three dimensional pseudoconvex cr manifolds ⋮ Unnamed Item ⋮ The local real analyticity of solutions to d'Alembert-Operator(b) and the (partial d)--Neumann problem ⋮ Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary ⋮ Analytic hypoellipticity of the (partial-d-bar)-Neumann problem and extendability of holomorphic mappings ⋮ Unnamed Item ⋮ Domains with maximal estimate. ⋮ Estimations along components for the \(\bar{\partial}\)-Neumann problem for some classes of pseudoconvex domains in \(\mathbb{C}^ n\). ⋮ A remark on the uniform extendability of the Bergman kernel function ⋮ Local analyticity for the \(\bar {\partial{}}\)-Neumann problem and \({\square{}}_ b\) -- some model domains without maximal estimates ⋮ Uniform extendibility of the Bergman kernel for generalized minimal balls ⋮ Local analyticity for □_band the ∂̸_-neumann probelm at certain weakly pseudoconvex points ⋮ Global analytic regularity for sums of squares of vector fields ⋮ Global analytic, Gevrey and C∞ hypoellipticity on the 3-torus ⋮ Real analytic regularity of the Bergman and Szegö projections on decoupled domains

Cites Work

• Analytic vectors
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Harmonic integrals on strongly pseudo-convex manifolds. I
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• On the analyticity of the solutions of linear elliptic systems of partial differential equations
• Non‐coercive boundary value problems
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)