The \({\overline{\partial}}\)-Neumann problem on product domains in \({\mathbb{C}^{n}}\)

DOI10.1007/s00208-006-0056-0zbMath1130.32022OpenAlexW2077583303MaRDI QIDQ996006

Dariush Ehsani

Publication date: 11 September 2007

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

Full work available at URL: https://doi.org/10.1007/s00208-006-0056-0

zbMATH Keywords

singularitiesproduct domains\(\overline{\partial}\)-Neumann problemcanonical solution operator to \(\overline{\partial}\)

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items

Unnamed Item ⋮ The Cauchy-Riemann equations on product domains ⋮ Regularity of canonical operators and Nebenhülle: Hartogs domains ⋮ Spectrum of the complex Laplacian on product domains ⋮ Essential spectra of tensor product Hilbert complexes and the \(\overline{\partial}\)-Neumann problem on product manifolds ⋮ Hölder estimates for the ∂̄ problem for (p,q) forms on product domains

Cites Work

• Regularity of the Bergman projection on domains with transverse symmetries
• Solution of the \(\overline\partial\)-Neumann problem on a bi-disc
• The inhomogeneous Dirichlet problem in Lipschitz domains
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Solution of the Neumann problem on a non-smooth domain
• Unnamed Item
• Unnamed Item

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