On the viscosity linearization method without compactness
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914731545067520 |
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| author | Salib, Anthony |
| author_facet | Salib, Anthony |
| contents | Savin's small perturbation approach has had far reaching applications in the theory of non-linear elliptic and parabolic PDE. In this short note, we revisit his seminal proof of De-Giorgi's improvement of flatness theorem for minimal surfaces and provide an approach based on the Harnack inequality that avoids the use of compactness arguments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18860 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the viscosity linearization method without compactness Salib, Anthony Analysis of PDEs 35B65, 35D40, 35J15 Savin's small perturbation approach has had far reaching applications in the theory of non-linear elliptic and parabolic PDE. In this short note, we revisit his seminal proof of De-Giorgi's improvement of flatness theorem for minimal surfaces and provide an approach based on the Harnack inequality that avoids the use of compactness arguments. |
| title | On the viscosity linearization method without compactness |
| topic | Analysis of PDEs 35B65, 35D40, 35J15 |
| url | https://arxiv.org/abs/2403.18860 |