Nonlinear Kinetic Diffusion Equations with $p$-Growth
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914578425708544 |
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| author | Dietert, Helge Niebel, Lukas Zacher, Rico |
| author_facet | Dietert, Helge Niebel, Lukas Zacher, Rico |
| contents | We establish the local boundedness of (sub-)solutions to nonlinear kinetic diffusion equations with $p$-growth, where the kinetic p-Laplace equation is a prototypical example. A key ingredient is the derivation of kinetic Gagliardo-Nirenberg inequalities, where the Lebesgue norm of a function is estimated in terms of its transport and diffusive directions controlled in different Lebesgue spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_18521 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nonlinear Kinetic Diffusion Equations with $p$-Growth Dietert, Helge Niebel, Lukas Zacher, Rico Analysis of PDEs We establish the local boundedness of (sub-)solutions to nonlinear kinetic diffusion equations with $p$-growth, where the kinetic p-Laplace equation is a prototypical example. A key ingredient is the derivation of kinetic Gagliardo-Nirenberg inequalities, where the Lebesgue norm of a function is estimated in terms of its transport and diffusive directions controlled in different Lebesgue spaces. |
| title | Nonlinear Kinetic Diffusion Equations with $p$-Growth |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2605.18521 |