On the Uniqueness Problem for Quadrature Domains

Yacin Ameur; Martin Helmer; Felix Tellander

doi:10.1007/s40315-021-00373-w

On the Uniqueness Problem for Quadrature Domains

Yacin Ameur, Martin Helmer, Felix Tellander^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	473-504
Number of pages	32
Journal	Computational Methods and Function Theory
Volume	21
Issue number	3
DOIs	https://doi.org/10.1007/s40315-021-00373-w
Publication status	Published - Sept 2021

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title = "On the Uniqueness Problem for Quadrature Domains",

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.",

keywords = "Conformal mapping, Quadrature domain, Real comprehensive triangular decomposition",

author = "Yacin Ameur and Martin Helmer and Felix Tellander",

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AU - Ameur, Yacin

AU - Helmer, Martin

AU - Tellander, Felix

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AB - 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.

KW - Conformal mapping

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KW - Real comprehensive triangular decomposition

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U2 - 10.1007/s40315-021-00373-w

DO - 10.1007/s40315-021-00373-w

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VL - 21

SP - 473

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JO - Computational Methods and Function Theory

JF - Computational Methods and Function Theory

IS - 3

ER -

On the Uniqueness Problem for Quadrature Domains

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