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arXiv · 2001.09431

On the Uniqueness Problem for Quadrature Domains

Yacin Ameur·Martin Helmer·Felix Tellander
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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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BibTeXRIS

Yacin Ameur, Martin Helmer, Felix Tellander. 2020-01-26. On the Uniqueness Problem for Quadrature Domains. https://doi.org/10.1007/s40315-021-00373-w

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