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Research Article Open access CC BY 4.0

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

Zhen Zhi, Zuodong Yang

Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 7 Sep 2017

10.9734/JAMCS/2017/35755

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.

p-biharmonic parabolic equation blow-up extinction

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