Blow-up of solutions to a nonlinear nonlocal reaction-diffusion system with time-dependent coefficients and inner absorption terms(具有时变系数和吸收项的非线性非局部反应扩散系统解的爆破)
研究了非线性边界条件下具有时变系数和吸收项的非线性非局部反应扩散系统解的全局存在性和爆破问题。采用Sobolev不等式及其他微分不等式方法,构造能量表达式,在一定条件下得到了其所满足的微分不等式,进而推出了解的全局存在性和爆破发生时解的爆破时间下界估计。...
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Format: | Article |
Language: | zho |
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Zhejiang University Press
2022-01-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
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Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2022.01.004 |