Liouville theorem for subcritical nonlinear heat equation
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866910214690701312 |
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| author | Zhou, Yang |
| author_facet | Zhou, Yang |
| contents | We obtain a Li-Yau-type estimate for nonnegative ancient solutions to the subcritical semilinear heat equation $\frac{\p u}{\p t}=\De u+u^p$ in $\rz^n\times(-\infty,0)$. Then, we combine the Li-Yau type estimate and Melre-Zaag's result to prove the Liouville theorem of this equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12264 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Liouville theorem for subcritical nonlinear heat equation Zhou, Yang Analysis of PDEs We obtain a Li-Yau-type estimate for nonnegative ancient solutions to the subcritical semilinear heat equation $\frac{\p u}{\p t}=\De u+u^p$ in $\rz^n\times(-\infty,0)$. Then, we combine the Li-Yau type estimate and Melre-Zaag's result to prove the Liouville theorem of this equation. |
| title | Liouville theorem for subcritical nonlinear heat equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.12264 |