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On the Uniqueness Problem for Quadrature Domains

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Date

2021

Authors

Ameur, Yacin
Helmer, Martin
Tellander, Felix

Journal Title

Journal ISSN

Volume Title

Publisher

Springer

Abstract

We study questions of existence and uniqueness of quadrature domains using computational tools from real algebraic geometry. These problems are transformed into questions about the number of solutions to an associated real semi-algebraic system, which is analyzed using the method of real comprehensive triangular decomposition.

Description

Keywords

Quadrature domain, Conformal mapping, Real comprehensive, triangular decomposition

Citation

URI

http://hdl.handle.net/1885/315710

Collections

ANU Research Publications

Source

Computational Methods and Function Theory

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

Creative Commons Attribution licence

DOI

10.1007/s40315-021-00373-w

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s40315-021-00373-w.pdf (1.25 MB)

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