Existence and uniqueness for renormalized solutions to a general noncoercive nonlinear parabolic equation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929287975665664 |
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| author | Dang, T. T. Orlandi, G. |
| author_facet | Dang, T. T. Orlandi, G. |
| contents | This paper introduces the concept of renormalized solution for a general class of non-coercive nonlinear parabolic problems, including both singularities and unbounded lower order terms. We prove existence and uniqueness of renormalized solutions for such class of problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16917 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence and uniqueness for renormalized solutions to a general noncoercive nonlinear parabolic equation Dang, T. T. Orlandi, G. Analysis of PDEs This paper introduces the concept of renormalized solution for a general class of non-coercive nonlinear parabolic problems, including both singularities and unbounded lower order terms. We prove existence and uniqueness of renormalized solutions for such class of problems. |
| title | Existence and uniqueness for renormalized solutions to a general noncoercive nonlinear parabolic equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.16917 |