论文标题
具有特殊扩散过程的反应扩散方程的爆破现象
Blow-up phenomena for a reaction diffusion equation with special diffusion process
论文作者
论文摘要
本文涉及解决特殊扩散过程的反应扩散方程的初始边界值问题的解决方案的爆炸特性。在初始数据的某些条件下，该问题的解决方案在有限的时间内，通过将强硬不平等结合起来，“移动”潜在的良好方法与某些差异不平等，显示出该问题的解决方案。此外，当发生爆破时，还会得出爆炸时间的上限和下限。
This paper is concerned with the blow-up property of solutions to an initial boundary value problem for a reaction diffusion equation with special diffusion processes. It is shown, under certain conditions on the initial data, that the solutions to this problem blow up in finite time, by combining Hardy inequality, "moving" potential well methods with some differential inequalities. Moreover, the upper and lower bounds for the blow-up time are also derived when blow-up occurs.
