Existence of weak solutions for a class of non-divergent parabolic equations with variable exponent
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929325236813824 |
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| author | Shao, Jingfeng Guo, Zhichang Zhou, Zhongxiang |
| author_facet | Shao, Jingfeng Guo, Zhichang Zhou, Zhongxiang |
| contents | A doubly degenerate parabolic equation in non-divergent form with variable growth is investigated in this paper. In suitable spaces, we prove the existence of weak solutions of the equation for cases $1\leq m < 2$ and $m\geq 2$ in different ways. And we establish the non-expansion of support of the solution for the problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14918 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of weak solutions for a class of non-divergent parabolic equations with variable exponent Shao, Jingfeng Guo, Zhichang Zhou, Zhongxiang Analysis of PDEs 35D30, 35K59 A doubly degenerate parabolic equation in non-divergent form with variable growth is investigated in this paper. In suitable spaces, we prove the existence of weak solutions of the equation for cases $1\leq m < 2$ and $m\geq 2$ in different ways. And we establish the non-expansion of support of the solution for the problem. |
| title | Existence of weak solutions for a class of non-divergent parabolic equations with variable exponent |
| topic | Analysis of PDEs 35D30, 35K59 |
| url | https://arxiv.org/abs/2404.14918 |