On the Uniqueness Problem for Quadrature Domains
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/eb432cb3-a891-433a-93ed-1ba3ae066b8d
- author
- Ameur, Yacin LU ; Helmer, Martin and Tellander, Felix
- organization
- publishing date
- 2021
- 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}}, }