Zhifeng Yang, Guobing Fan
Abstract:
In this article, we consider the Euler-Bernoulli viscoelastic equation
together with some suitable initial data and boundary conditions in
.
Some sufficient conditions on blow-up of
solutions are obtained under different initial energy states.
And from these results we can clearly understand the competitive
relationship between the viscoelastic damping and source.
Submitted September 1, 2015. Published December 16, 2015.
Math Subject Classifications: 35L35, 35G16.
Key Words: Viscoelastic equation; blow-up; nonlinear source.
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Zhifeng Yang College of Mathematics and Computer Science Hunan Normal University Changsha, Hunan, 410081, China email: zhifeng_yang@126.com | |
Guobing Fan Hunan University of Finance and Economics Changsha, Hunan 410205, China email: fan_guobing@126.com |
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