Singular and special points on quadrature domains from an algebraic geometric point of view

DOI10.1007/BF02791120zbMath0656.30034MaRDI QIDQ1109919

Björn Gustafsson

Publication date: 1988

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

singular pointsmoving boundary problemquadrature domainHele Shaw flows

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Geometric function theory (30C99)

Related Items (22)

Subnormal operators and quadrature domains ⋮ Linear analysis of quadrature domains ⋮ An answer to a question of A.\,Lubin: the lifting problem for commuting subnormals ⋮ Classification of degree three polynomial solutions to the Polubarinova–Galin equation ⋮ Quadrature for quadrics ⋮ Scaling limits for internal aggregation models with multiple sources ⋮ Properties of mono-weakly hyponormal 2-variable weighted shifts ⋮ On quadrature domains and an inverse problem in potential theory ⋮ Unnamed Item ⋮ On the uniqueness problem for quadrature domains ⋮ Uniformizing the boundaries of multiply connected quadrature domains using Fuchsian groups ⋮ Selected topics on quadrature domains ⋮ The construction of exact multipolar equilibria of the two-dimensional Euler equations ⋮ Logarithmic equilibrium on the sphere in the presence of multiple point charges ⋮ Real separated algebraic curves, quadrature domains, Ahlfors type functions and operator theory ⋮ Squeeze flow of multiply-connected fluid domains in a Hele-Shaw cell ⋮ Topology of quadrature domains ⋮ Superresolution of principal semi-algebraic sets ⋮ Xia's analytic model of a subnormal operator and its applications ⋮ How to count zeroes of polynomials on quadrature domains using the Bezout matrix ⋮ On the exponential transform of multi-sheeted algebraic domains ⋮ Linear analysis of quadrature domains. II

Cites Work

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• On a differential equation arising in a Hele Shaw flow moving boundary problem
• An ill-posed moving boundary problem for doubly-connected domains
• Quadrature domains
• Domains on which analytic functions satisfy quadrature identities
• Quadrature identities and the Schottky double
• An approximation theorem
• Applications of Variational Inequalities to the Existence Theorem on Quadrature Domains
• Some Isoperimetric Inequalities in Electrochemistry and Hele Shaw Flows
• Singular Points of Complex Hypersurfaces. (AM-61)

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