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带时滞的退化半线性抛物方程的熄灭(英文)

, PP. 7-13

Keywords: 熄灭问题,退化半线性抛物方程,时滞,临界长度,简单估计

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Abstract:

考虑带时滞的退化半线性抛物方程的熄灭问题.利用正则化方法和上下解技巧,我们得到了上述问题经典解的存在惟一性,同时还证明了存在一个临界长度a*使得上述问题的解u当aa*时在有限时间内熄灭.进而我们还得到关于临界长度a*的一个简单估计.

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