Duality estimates for subdiffusion problems including time-fractional porous medium type equations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916943075737600 |
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| author | Viana, Arlúcio Wolejko, Patryk Zacher, Rico |
| author_facet | Viana, Arlúcio Wolejko, Patryk Zacher, Rico |
| contents | We prove duality estimates for time-fractional and more general subdiffusion problems. An important example is given by subdiffusive porous medium type equations. Our estimates can be used to prove uniqueness of weak solutions to such problems, and they allow to extend a key estimate from classical reaction-diffusion systems to the subdiffusive case. Besides concrete equations involving a Laplacian, we also consider abstract problems in a Hilbert space setting. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_07862 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Duality estimates for subdiffusion problems including time-fractional porous medium type equations Viana, Arlúcio Wolejko, Patryk Zacher, Rico Analysis of PDEs 35R11 (primary), 45K05, 76S05 We prove duality estimates for time-fractional and more general subdiffusion problems. An important example is given by subdiffusive porous medium type equations. Our estimates can be used to prove uniqueness of weak solutions to such problems, and they allow to extend a key estimate from classical reaction-diffusion systems to the subdiffusive case. Besides concrete equations involving a Laplacian, we also consider abstract problems in a Hilbert space setting. |
| title | Duality estimates for subdiffusion problems including time-fractional porous medium type equations |
| topic | Analysis of PDEs 35R11 (primary), 45K05, 76S05 |
| url | https://arxiv.org/abs/2509.07862 |