Boundary Harnack principle on uniform domains
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908978744655872 |
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| author | Chen, Aobo |
| author_facet | Chen, Aobo |
| contents | We present a proof of scale-invariant boundary Harnack principle for uniform domains when the underlying space satisfies a scale-invariant elliptic Harnack inequality. Our approach does not assume the underlying space to be geodesic. Additionally, the existence of Green functions is also not assumed beforehand and is ensured by a recent result from M. T. Barlow, Z.-Q. Chen and M. Murugan. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03571 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundary Harnack principle on uniform domains Chen, Aobo Probability Analysis of PDEs Primary 31B25, secondary 31B05 We present a proof of scale-invariant boundary Harnack principle for uniform domains when the underlying space satisfies a scale-invariant elliptic Harnack inequality. Our approach does not assume the underlying space to be geodesic. Additionally, the existence of Green functions is also not assumed beforehand and is ensured by a recent result from M. T. Barlow, Z.-Q. Chen and M. Murugan. |
| title | Boundary Harnack principle on uniform domains |
| topic | Probability Analysis of PDEs Primary 31B25, secondary 31B05 |
| url | https://arxiv.org/abs/2402.03571 |