Nonexistence and Growth of Solutions for a Parabolic P-Laplacian System
1Dicle University, Department of Mathematics, DIYARBAKIR
Sigma J Eng Nat Sci 2019; 10(): 301-307
Abstract
In this paper, we investigate the initial boundary problem of a class of doubly nonlinear parabolic systems. We prove a nonexistence of global solutions and exponential growth of solution with negative initial energy.
Keywords: Blow up, exponential growth, parabolic equation, multiple nonlinearities.