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Zeitschrift für Analysis und ihre Anwendungen


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Volume 31, Issue 3, 2012, pp. 251–266
DOI: 10.4171/ZAA/1458

Published online: 2012-07-11

Blow-up and Polynomial Decay of Solutions for a Viscoelastic Equation with a Nonlinear Source

Yangping Xiong[1]

(1) Zhejiang Normal University, Jinhua, China

In this paper we investigate the blow-up and decay phenomenon of solutions for a viscoelastic equation with a nonlinear source. Even for vanishing initial energy, we show the solution blows up in nite time. We also prove the solution decays under suitable conditions.

Keywords: Blow up, polynomially decay, viscoelastic

Xiong Yangping: Blow-up and Polynomial Decay of Solutions for a Viscoelastic Equation with a Nonlinear Source. Z. Anal. Anwend. 31 (2012), 251-266. doi: 10.4171/ZAA/1458