Existence, Uniqueness and Blow-up Result of Solutions for an Evolution p(x)−laplacian Equation
Current Journal of Applied Science and Technology · pp. 1–13 · Published 3 Jun 2017
10.9734/BJAST/2017/32806Abstract
In this paper we are investigate in the evolution equation p(x)- laplacian with the initial boundary value question. We translate the parabolic equation into the elliptic equation by using a finite difference method, and then the existence and uniqueness solution are obtained. The blow-up property is shown, by using the energy method. We perform, using Matlab (Ode45 subroutine), some numerical experiments just to illustrate our general results.
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