Note about the existence and essential uniqueness of quadrature domains
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909187645112320 |
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| author | Cairns, Hannah |
| author_facet | Cairns, Hannah |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_00737 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Note about the existence and essential uniqueness of quadrature domains Cairns, Hannah Analysis of PDEs 35R35 (Primary) 31B15, 31A15, 31-01 (Secondary) 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. |
| title | Note about the existence and essential uniqueness of quadrature domains |
| topic | Analysis of PDEs 35R35 (Primary) 31B15, 31A15, 31-01 (Secondary) |
| url | https://arxiv.org/abs/2405.00737 |