Blow-up of Solutions to Quasilinear Parabolic Equations with Singular Absorption and a Positive Initial Energy

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作者
Bin Guo
Wenjie Gao
机构
[1] Jilin University,School of Mathematics
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关键词
Quasilinear parabolic; blow-up in finite time; positive initial energy; 35K55; 35K40; 35B65;
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摘要
In this paper, the authors prove that the solution blows up in a finite time for a larger class of initial data, namely positive initial energy. The results generalize and improve that of Giacomoni et al. (J Math Anal Appl 410:607–624, 2014). Furthermore, a lower bound estimate about blow-up time is also established. Finally, two examples are given in the paper to show the existence of the initial datum satisfying the conditions in the main theorem.
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页码:2853 / 2861
页数:8
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