Notes on the boundaries of quadrature domains

DOI10.1007/s13324-018-0221-0zbMath1485.30009arXiv1612.06567OpenAlexW2593527905MaRDI QIDQ1999846

Kaushal Verma

Publication date: 27 June 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.06567

zbMATH Keywords

free boundaryreal algebraic curvequadrature domainHele-Shaw flow

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Other free boundary flows; Hele-Shaw flows (76D27) General theory of univalent and multivalent functions of one complex variable (30C55)

Cites Work

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• Regularity of a boundary having a Schwarz function
• Domains on which analytic functions satisfy quadrature identities
• Linear analysis of quadrature domains. II
• Quadrature identities and the Schottky double
• Continuing 1-dimensional analytic sets
• Continuing analytic sets across \(\mathbb{R}^ n\)
• The Hele-Shaw flow and moduli of holomorphic discs
• REGULARITY OF THE BOUNDARIES OF ANALYTIC SETS
• Regularity of Boundaries of Quadrature Domains in Two Dimensions

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