Qualitative Estimates of Topological Entropy for Non-Monotone Contact Lax-Oleinik Semiflow
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916534097543168 |
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| author | Cheng, Wei Hong, Jiahui Zhu, Zhi-Xiang |
| author_facet | Cheng, Wei Hong, Jiahui Zhu, Zhi-Xiang |
| contents | For the non-monotone Hamilton-Jacobi equations of contact type, the associated Lax-Oleinik semiflow $(T_t, C(M))$ is expansive. In this paper, we provide qualitative estimates for both the lower and upper bounds of the topological entropy of the semiflow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15087 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Qualitative Estimates of Topological Entropy for Non-Monotone Contact Lax-Oleinik Semiflow Cheng, Wei Hong, Jiahui Zhu, Zhi-Xiang Dynamical Systems Analysis of PDEs 35F21, 37L05, 37B40, 49L25 For the non-monotone Hamilton-Jacobi equations of contact type, the associated Lax-Oleinik semiflow $(T_t, C(M))$ is expansive. In this paper, we provide qualitative estimates for both the lower and upper bounds of the topological entropy of the semiflow. |
| title | Qualitative Estimates of Topological Entropy for Non-Monotone Contact Lax-Oleinik Semiflow |
| topic | Dynamical Systems Analysis of PDEs 35F21, 37L05, 37B40, 49L25 |
| url | https://arxiv.org/abs/2412.15087 |