Note about the existence and essential uniqueness of quadrature domains
Analysis of PDEs
2024-05-03 v1
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.
Cite
@article{arxiv.2405.00737,
title = {Note about the existence and essential uniqueness of quadrature domains},
author = {Hannah Cairns},
journal= {arXiv preprint arXiv:2405.00737},
year = {2024}
}