Oscillatory free boundary problems in stochastic materials
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929303009099776 |
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| author | Araújo, Damião J. Sá, Ginaldo S. Teixeira, Eduardo V. Urbano, José Miguel |
| author_facet | Araújo, Damião J. Sá, Ginaldo S. Teixeira, Eduardo V. Urbano, José Miguel |
| contents | We investigate a class of free boundary problems with oscillatory singularities within stochastic materials. Our main result yields sharp regularity estimates along the free boundary, provided the power of the singularity varies in a Dini-continuous fashion below a certain threshold. We also reveal an interesting repelling estimate preventing the free boundary from touching the region where the singularity power oscillates above the threshold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03060 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Oscillatory free boundary problems in stochastic materials Araújo, Damião J. Sá, Ginaldo S. Teixeira, Eduardo V. Urbano, José Miguel Analysis of PDEs We investigate a class of free boundary problems with oscillatory singularities within stochastic materials. Our main result yields sharp regularity estimates along the free boundary, provided the power of the singularity varies in a Dini-continuous fashion below a certain threshold. We also reveal an interesting repelling estimate preventing the free boundary from touching the region where the singularity power oscillates above the threshold. |
| title | Oscillatory free boundary problems in stochastic materials |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.03060 |