Composite media, almost touching disks and the maximum principle
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915736483528704 |
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| author | Li, YanYan Weinkove, Ben |
| author_facet | Li, YanYan Weinkove, Ben |
| contents | We consider the setting of two disks in a domain in $\mathbb{R}^2$ which are almost touching and have finite and positive conductivities, giving rise to a divergence form elliptic equation with discontinuous coefficients. We use the maximum principle to give a new proof of a gradient bound of Li-Vogelius. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02077 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Composite media, almost touching disks and the maximum principle Li, YanYan Weinkove, Ben Analysis of PDEs We consider the setting of two disks in a domain in $\mathbb{R}^2$ which are almost touching and have finite and positive conductivities, giving rise to a divergence form elliptic equation with discontinuous coefficients. We use the maximum principle to give a new proof of a gradient bound of Li-Vogelius. |
| title | Composite media, almost touching disks and the maximum principle |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.02077 |