Peipei Wang, Jianghao Hao
Abstract:
In this article we consider an abstract nonlinear system with nonlinear
source terms. We prove the exponential stability by the energy method.
Also under suitable conditions on the initial values, we show that the
nonlinear source terms are able to guarantee the blow-up of the solutions
by convex method.
Submitted June 8, 2017. Published November 28, 2017.
Math Subject Classifications: 35L05, 35L20, 35L70, 93D15.
Key Words: Abstract nonlinear system; exponential decay; convex method;
blow-up.
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Peipei Wang School of Mathematical Sciences Shanxi University Taiyuan, Shanxi 030006, China email: 1576037528@qq.com | |
Jianghao Hao School of Mathematical Sciences Shanxi University Taiyuan, Shanxi 030006, China email: hjhao@sxu.edu.cn |
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