一类反应扩散方程的爆破时间下界估计
摘要
The blow-up behaviors in a bounded domain were considered for a class of reaction diffusion equations with nonlinear nonlocal heat sources and time-dependent-coefficient heat sink, under the Dirichlet, the Neumann and the Robin boundary conditions respectively.Through construction of auxiliary functions and appropriate conditions for the time-dependent coefficients, with the Sobolev inequality, the H?lder inequality and the Payne and Schaefer integral inequality etc., the lower bounds of the blow-up time of solutions were given for the blow-up occurring in a finite time.
引用本文（GB/T 7714）
田娅 许然, Xu Ran, TIAN Ya, 等. 一类反应扩散方程的爆破时间下界估计[J]. 应用数学和力学, 2021.
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