On some interpolation inequalities between Hölder and Lebesgue's spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914954521608192 |
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| author | Degtyarev, Sergey P. |
| author_facet | Degtyarev, Sergey P. |
| contents | We present a simple proof of some interpolation inequalities between Hölder and Lebesgue's spaces. As an example, to demonstrate the simplicity of their applications to nonlinear PDE, we give also a simple proof of an a-priory estimate in a smooth Hölder class for a solution to some quasilinear parabolic initial boundary value problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14102 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On some interpolation inequalities between Hölder and Lebesgue's spaces Degtyarev, Sergey P. Analysis of PDEs 26D10, 35K59 We present a simple proof of some interpolation inequalities between Hölder and Lebesgue's spaces. As an example, to demonstrate the simplicity of their applications to nonlinear PDE, we give also a simple proof of an a-priory estimate in a smooth Hölder class for a solution to some quasilinear parabolic initial boundary value problem. |
| title | On some interpolation inequalities between Hölder and Lebesgue's spaces |
| topic | Analysis of PDEs 26D10, 35K59 |
| url | https://arxiv.org/abs/2409.14102 |