Electron. J. Diff. Equ., Vol. 2013 (2013), No. 12, pp. 1-11.

Blow-up and general decay of solutions for a nonlinear viscoelastic equation

Wenying Chen, Yangping Xiong

In this article we investigate a nonlinear viscoelastic equation that admits blow-up and decay. First, we establish blow-up results for this equation, even for vanishing initial energy. Then, we show that the solutions decay under suitable conditions.

Submitted November 19, 2012. Published January 14, 2013.
Math Subject Classifications: 35B45, 35B65, 35Q30, 76D05.
Key Words: Blow-up; decay; viscoelastic equation.

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Wenying Chen
College of Mathematics and Statistics
Chongqing Three Gorges University
Chongqing 404000, China
email: wenyingchenmath@yahoo.com
Yangping Xiong
Department of Mathematics, Zhejiang Normal University
Jinhua 321004, China
email: xiongyangping@gmail.com

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