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

Ouardi, Hamid (2017) Existence, Uniqueness and Blow-up Result of Solutions for an Evolution p(x)−laplacian Equation. British Journal of Applied Science & Technology, 21 (3). pp. 1-13. ISSN 22310843

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Abstract

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.

Item Type: Article
Subjects: Archive Science > Multidisciplinary
Depositing User: Managing Editor
Date Deposited: 09 May 2023 08:56
Last Modified: 14 Aug 2025 03:33
URI: http://catalog.journals4promo.com/id/eprint/832

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