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Life Span of Solutions for a Semilinear Heat Equation with Initial Data Non-Rarefied at $\infty$

We study the Cauchy problem for a semilinear heat equation with initial data non-rarefied at $\infty$. Our interest lies in the discussion of the effect of the non-rarefied factors on the life span of solutions, and some sharp estimates on the life span is established.

preprint2015arXivOpen access
Zhiyong WangJingxue Yin
math.AP
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Open access2 authors1 topic
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Zhiyong WangJingxue Yin

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