Lipschitz truncation method for parabolic double-phase systems and applications
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910620439281664 |
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| author | Kim, Wontae Kinnunen, Juha Särkiö, Lauri |
| author_facet | Kim, Wontae Kinnunen, Juha Särkiö, Lauri |
| contents | We discuss a Lipschitz truncation technique for parabolic double-phase problems of $p$-Laplace type in order to prove energy estimates and uniqueness results for the Dirichlet problem. Moreover, we show existence for a non-homogeneous double-phase problem. The Lipschitz truncation method is based on a Whitney-type covering result and a related partition of unity in the intrinsic geometry for the double-phase problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09776 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Lipschitz truncation method for parabolic double-phase systems and applications Kim, Wontae Kinnunen, Juha Särkiö, Lauri Analysis of PDEs 35A01, 35A02, 35D30, 35K55, 35K65 We discuss a Lipschitz truncation technique for parabolic double-phase problems of $p$-Laplace type in order to prove energy estimates and uniqueness results for the Dirichlet problem. Moreover, we show existence for a non-homogeneous double-phase problem. The Lipschitz truncation method is based on a Whitney-type covering result and a related partition of unity in the intrinsic geometry for the double-phase problem. |
| title | Lipschitz truncation method for parabolic double-phase systems and applications |
| topic | Analysis of PDEs 35A01, 35A02, 35D30, 35K55, 35K65 |
| url | https://arxiv.org/abs/2304.09776 |