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British Journal of Applied Science & Technology

British Journal of Applied Science & Technology, ISSN: 2231-0843,Vol.: 21, Issue.: 3


Existence, Uniqueness and Blow-up Result of Solutions for an Evolution p(x)−laplacian Equation


Hamid El Ouardi1*
1Research laboratory in Engineering (LRI), University Hassan II of Casablanca, National Higher School of Electricity and Mechanics, Equipe S´ecurit ´ e, Syst`emes & Mod´ elisations. ENSEM, BP. 8118, Km7, Morocco.




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.


Keywords :

p(x)-laplacian equation; existence; uniqueness; numerical blow-up; variable exponents; difference method.


Full Article - PDF    Page 1-13    Article Metrics


DOI : 10.9734/BJAST/2017/32806

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