Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy

被引：0

作者：

Haixia Li

Yuzhu Han

机构：

[1] Changchun Normal University,School of Mathematics

[2] Jilin University,School of Mathematics

来源：

Boundary Value Problems | / 2017卷

关键词：

viscoelastic; potential well method; blow-up; nonlinear boundary flux;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, a semilinear viscoelastic parabolic equation with nonlinear boundary flux is studied. Due to the comparison principle being invalid, potential well method and concavity argument are used to prove that the solutions blow up in finite time with positive initial energy. This result improves the one obtained by Han et al. (C. R. Math. Acad. Sci. Paris, Sér. I 353:825-830, 2015).

引用

共 50 条

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Han, Yuzhu
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