Blow-up and Polynomial Decay of Solutions for a Viscoelastic Equation with a Nonlinear Source
Yangping XiongZhejiang 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.
Cite this article
Yangping Xiong, Blow-up and Polynomial Decay of Solutions for a Viscoelastic Equation with a Nonlinear Source. Z. Anal. Anwend. 31 (2012), no. 3, pp. 251–266DOI 10.4171/ZAA/1458