Finite Time Blow-up, Extinction and Non-extinction of Solutions for an Evolutionary Problem

Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 24, Issue 2

Abstract

In this paper we consider a class of p-biharmonic parabolic equation with nonlocal nonlinearities and Neumann boundary condition. By constructing suitable auxiliary functions and using differential inequalities, we give blow-up criterion of solutions as well as extinction and nonextinction. In addition, we derive similar results for a different equation.

Authors and Affiliations

Zhen Zhi, Zuodong Yang

Keywords

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  • EP ID EP322107
  • DOI 10.9734/JAMCS/2017/35755
  • Views 71
  • Downloads 0

How To Cite

Zhen Zhi, Zuodong Yang (2017). Finite Time Blow-up, Extinction and Non-extinction of Solutions for an Evolutionary Problem. Journal of Advances in Mathematics and Computer Science, 24(2), 1-14. https://europub.co.uk/articles/-A-322107