| Autor: |
Floridia, Giuseppe, Liu, Yikan, Yamamoto, Masahiro |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Advances in Nonlinear Analysis, 12 (2023), No. 20230121 (15pp) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1515/anona-2023-0121 |
| Popis: |
This article is concerned with semilinear time-fractional diffusion equations with polynomial nonlinearity $u^p$ in a bounded domain $\Omega$ with the homogeneous Neumann boundary condition and positive initial values. In the case of $p>1$, we prove the blowup of solutions $u(x,t)$ in the sense that $\|u(\,\cdot\,,t)\|_{L^1(\Omega)}$ tends to $\infty$ as $t$ approaches some value, by using a comparison principle for the corresponding ordinary differential equations and constructing special lower solutions. Moreover, we provide an upper bound for the blowup time. In the case of $0Comment: 18 pages |
| Databáze: |
arXiv |
| Externí odkaz: |
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