Note about the existence and essential uniqueness of quadrature domains

Autor:	Cairns, Hannah
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs 35R35 (Primary) 31B15 31A15 31-01 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.00737 Zobrazit plný text záznamu View this record from Arxiv