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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.02491 |
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| _version_ | 1866915943950581760 |
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| author | Nastasi, Antonella Ayala, Emiliano Peña Vestberg, Matias |
| author_facet | Nastasi, Antonella Ayala, Emiliano Peña Vestberg, Matias |
| contents | We prove the existence of solutions to the Cauchy-Dirichlet problem associated with a class of fully nonlinear anisotropic evolution equations. We prove a comparison principle and conclude the uniqueness of solutions. All results are obtained under a closeness assumption on the exponents which guarantees that a certain power of the solution has a gradient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02491 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations Nastasi, Antonella Ayala, Emiliano Peña 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 fully nonlinear anisotropic evolution equations. We prove a comparison principle and conclude the uniqueness of solutions. All results are obtained under a closeness assumption on the exponents which guarantees that a certain power of the solution has a gradient. |
| title | Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations |
| topic | Analysis of PDEs 35K61, 35B51, 35D30, 35K10, 35B65 |
| url | https://arxiv.org/abs/2508.02491 |