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On the Uniqueness Problem for Quadrature Domains

Ameur, Yacin LU ; Helmer, Martin and Tellander, Felix (2021) In Computational Methods and Function Theory 21(3). p.473-504
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.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Conformal mapping, Quadrature domain, Real comprehensive triangular decomposition
in
Computational Methods and Function Theory
volume
21
issue
3
pages
473 - 504
publisher
Springer
external identifiers
  • scopus:85105911612
ISSN
1617-9447
DOI
10.1007/s40315-021-00373-w
language
English
LU publication?
yes
additional info
Funding Information: This work was supported in part by the Anders Wall Foundation.
id
eb432cb3-a891-433a-93ed-1ba3ae066b8d
date added to LUP
2021-06-02 11:36:42
date last changed
2025-01-13 08:56:28
@article{eb432cb3-a891-433a-93ed-1ba3ae066b8d,
  abstract     = {{<p>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.</p>}},
  author       = {{Ameur, Yacin and Helmer, Martin and Tellander, Felix}},
  issn         = {{1617-9447}},
  keywords     = {{Conformal mapping; Quadrature domain; Real comprehensive triangular decomposition}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{473--504}},
  publisher    = {{Springer}},
  series       = {{Computational Methods and Function Theory}},
  title        = {{On the Uniqueness Problem for Quadrature Domains}},
  url          = {{http://dx.doi.org/10.1007/s40315-021-00373-w}},
  doi          = {{10.1007/s40315-021-00373-w}},
  volume       = {{21}},
  year         = {{2021}},
}