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arXiv · 2405.00737

Note about the existence and essential uniqueness of quadrature domains

Hannah Cairns
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Abstract

This note is intended to explain the proof of two facts about quadrature domains: first, they are essentially unique if they exist; and second, they do exist for a large class of weight functions. The proofs roughly follow Sakai's "Solutions to the obstacle problem as Green potentials," but are presented at an easier level.

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Hannah Cairns. 2024-04-29. Note about the existence and essential uniqueness of quadrature domains. https://arxiv.org/abs/2405.00737

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