Higher integrability for doubly nonlinear parabolic systems
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2018
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| Subjects: | |
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| _version_ | 1866916273333469184 |
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| author | Bögelein, Verena Duzaar, Frank Kinnunen, Juha Scheven, Christoph |
| author_facet | Bögelein, Verena Duzaar, Frank Kinnunen, Juha Scheven, Christoph |
| contents | This paper proves a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The new feature of the argument is that the intrinsic geometry involves the solution as well as its spatial gradient. The main result holds true for a range of parameters suggested by other nonlinear parabolic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1810_06039 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Higher integrability for doubly nonlinear parabolic systems Bögelein, Verena Duzaar, Frank Kinnunen, Juha Scheven, Christoph Analysis of PDEs 35B65, 35K40, 35K55 This paper proves a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The new feature of the argument is that the intrinsic geometry involves the solution as well as its spatial gradient. The main result holds true for a range of parameters suggested by other nonlinear parabolic systems. |
| title | Higher integrability for doubly nonlinear parabolic systems |
| topic | Analysis of PDEs 35B65, 35K40, 35K55 |
| url | https://arxiv.org/abs/1810.06039 |