Domains with globally exponentially integrable parabolic forward-in-time BMO
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915521522302976 |
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| author | Myyryläinen, Kim Oikari, Tuomas Saari, Olli |
| author_facet | Myyryläinen, Kim Oikari, Tuomas Saari, Olli |
| contents | We characterize those open sets of the space time in which parabolic forward-in-time BMO functions are in a certain forward-in-time exponential integrability class. The characterization holds under qualitative connectivity assumptions on the domain and is formulated in terms of a quantitative growth bound on a forward-in-time version of the classical quasihyperbolic distance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24486 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Domains with globally exponentially integrable parabolic forward-in-time BMO Myyryläinen, Kim Oikari, Tuomas Saari, Olli Classical Analysis and ODEs Analysis of PDEs We characterize those open sets of the space time in which parabolic forward-in-time BMO functions are in a certain forward-in-time exponential integrability class. The characterization holds under qualitative connectivity assumptions on the domain and is formulated in terms of a quantitative growth bound on a forward-in-time version of the classical quasihyperbolic distance. |
| title | Domains with globally exponentially integrable parabolic forward-in-time BMO |
| topic | Classical Analysis and ODEs Analysis of PDEs |
| url | https://arxiv.org/abs/2509.24486 |