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
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