On the Uniqueness Problem for Quadrature Domains
Complex Variables
2021-05-12 v3 Symbolic Computation
Algebraic Geometry
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.
Cite
@article{arxiv.2001.09431,
title = {On the Uniqueness Problem for Quadrature Domains},
author = {Yacin Ameur and Martin Helmer and Felix Tellander},
journal= {arXiv preprint arXiv:2001.09431},
year = {2021}
}
Comments
Corrected a minor and isolated typo in (4)