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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.23939 |
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| _version_ | 1866914117730697216 |
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| author | Amaral, M. D. Araújo, J. G. |
| author_facet | Amaral, M. D. Araújo, J. G. |
| contents | In this work, we investigate quantitative regularity estimates for degenerate parabolic partial differential equations, with a focus on Orlicz-type diffusive structures. Using a geometric tangential analysis tailored to these structures and a general notion of intrinsic scalings, we derive precise interior Hölder regularity estimates for bounded weak solutions. These results offer new insights, even in the time-stationary case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_23939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Intrinsic Scalings with Non-standard Growth Amaral, M. D. Araújo, J. G. Analysis of PDEs In this work, we investigate quantitative regularity estimates for degenerate parabolic partial differential equations, with a focus on Orlicz-type diffusive structures. Using a geometric tangential analysis tailored to these structures and a general notion of intrinsic scalings, we derive precise interior Hölder regularity estimates for bounded weak solutions. These results offer new insights, even in the time-stationary case. |
| title | Intrinsic Scalings with Non-standard Growth |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.23939 |