Dirichlet and Neumann problems for planar domains with parameter

DOI10.1090/S0002-9947-2013-05951-XzbMath1281.31001arXiv1111.0079OpenAlexW2085892327MaRDI QIDQ2862128

Xianghong Gong, Florian Bertrand

Publication date: 14 November 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.0079

zbMATH Keywords

Dirichlet and Neumann problems in planar domainsdomain with parameter

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Fredholm integral equations (45B05) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Boundary regularity of mappings in several complex variables (32H40)

Related Items

Oblique derivative boundary value problems on families of planar domains ⋮ The \(L^p\) CR Hartogs separate analyticity theorem for convex domains ⋮ The \(\overline{\partial}\)-equation on variable strictly pseudoconvex domains ⋮ Common boundary values of holomorphic functions for two-sided complex structures ⋮ A Frobenius-Nirenberg theorem with parameter ⋮ Tests for complete \(K\)-spectral sets

Cites Work

• Über das Randverhalten der Ableitung der Abbildungsfunktion bei konformer Abbildung
• Elliptic partial differential equations of second order
• Common boundary values of holomorphic functions for two-sided complex structures
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item