The Poisson problem in domains with Ahlfors regular boundary
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866908907096506368 |
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| author | Barton, Ariel Mayboroda, Svitlana Pacati, Alberto |
| author_facet | Barton, Ariel Mayboroda, Svitlana Pacati, Alberto |
| contents | We establish well posedness of the Poisson problem in weak local John domains, for linear second order elliptic equations with real coefficients, and with data in weighted Lebesgue spaces with a very broad range of acceptable parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22067 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Poisson problem in domains with Ahlfors regular boundary Barton, Ariel Mayboroda, Svitlana Pacati, Alberto Analysis of PDEs 35J25 (Primary), 46E35 (Secondary) We establish well posedness of the Poisson problem in weak local John domains, for linear second order elliptic equations with real coefficients, and with data in weighted Lebesgue spaces with a very broad range of acceptable parameters. |
| title | The Poisson problem in domains with Ahlfors regular boundary |
| topic | Analysis of PDEs 35J25 (Primary), 46E35 (Secondary) |
| url | https://arxiv.org/abs/2603.22067 |