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

Mathematics (Faculty of Sciences)

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

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
Journal	Computational Methods and Function Theory
Volume	21
Issue number	3
Early online date	2021
DOIs	https://doi.org/10.1007/s40315-021-00373-w
Publication status	Published - 2021

Bibliographical note

Funding Information:
This work was supported in part by the Anders Wall Foundation.

Subject classification (UKÄ)

Mathematical Sciences

Free keywords

Conformal mapping
Quadrature domain
Real comprehensive triangular decomposition

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10.1007/s40315-021-00373-w

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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",

note = "Funding Information: This work was supported in part by the Anders Wall Foundation. ",

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doi = "10.1007/s40315-021-00373-w",

language = "English",

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T1 - On the Uniqueness Problem for Quadrature Domains

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AU - Helmer, Martin

AU - Tellander, Felix

N1 - Funding Information: This work was supported in part by the Anders Wall Foundation.

PY - 2021

Y1 - 2021

N2 - 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.

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

KW - Quadrature domain

KW - Real comprehensive triangular decomposition

U2 - 10.1007/s40315-021-00373-w

DO - 10.1007/s40315-021-00373-w

M3 - Article

AN - SCOPUS:85105911612

SN - 1617-9447

VL - 21

SP - 473

EP - 504

JO - Computational Methods and Function Theory

JF - Computational Methods and Function Theory

IS - 3

ER -

On the Uniqueness Problem for Quadrature Domains

Abstract

Bibliographical note

Subject classification (UKÄ)

Free keywords

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