Blowup of solution for a reaction diffusion equation with memory and multiple nonlinearities

Authors

  • Qingying Hu Henan University of Technology
  • Longfei Qi Henan University of Technology
  • Hongwei Zhang Henan University of Technology

DOI:

https://doi.org/10.24297/jam.v6i3.3661

Keywords:

reaction diffusion equation, blow-up, memory term, multiple nonlinearities

Abstract

In this paper, the blow-up of solution for the initial boundary value problem of a class of reaction diffusion equation with memory and multiple nonlinearities is studied. Using a differential inequalities, we obtain sufficient conditions for the blow-up of solutions in a finite time interval under suitable conditions on memory and nonlinearities term and for vanishing initial energy.

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Author Biographies

Qingying Hu, Henan University of Technology

Department of Mathematics

Longfei Qi, Henan University of Technology

Department of Mathematics

Hongwei Zhang, Henan University of Technology

Department of Mathematics

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Published

2014-02-21

How to Cite

Hu, Q., Qi, L., & Zhang, H. (2014). Blowup of solution for a reaction diffusion equation with memory and multiple nonlinearities. JOURNAL OF ADVANCES IN MATHEMATICS, 6(3), 1050–1055. https://doi.org/10.24297/jam.v6i3.3661

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Articles