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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.02609 |
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| _version_ | 1866916327484030976 |
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| author | Vestberg, Matias |
| author_facet | Vestberg, Matias |
| contents | We prove the existence of solutions to the Cauchy-Dirichlet problem associated with a class of doubly nonlinear anisotropic evolution equations. We also demonstrate the existence of solutions to the corresponding Cauchy problem on $\mathbb{R}^N\times(0,T)$. Under some assumptions on the Caratheodory vector field we prove a comparison principle and utilize it to obtain a uniqueness result for the Cauchy-Dirichlet problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02609 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence, comparison principle and uniqueness for doubly nonlinear anisotropic evolution equation Vestberg, Matias Analysis of PDEs 35K61, 35B51, 35D30, 35K10, 35B65 We prove the existence of solutions to the Cauchy-Dirichlet problem associated with a class of doubly nonlinear anisotropic evolution equations. We also demonstrate the existence of solutions to the corresponding Cauchy problem on $\mathbb{R}^N\times(0,T)$. Under some assumptions on the Caratheodory vector field we prove a comparison principle and utilize it to obtain a uniqueness result for the Cauchy-Dirichlet problem. |
| title | Existence, comparison principle and uniqueness for doubly nonlinear anisotropic evolution equation |
| topic | Analysis of PDEs 35K61, 35B51, 35D30, 35K10, 35B65 |
| url | https://arxiv.org/abs/2407.02609 |