Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (5): 1383-1404.doi: 10.1016/S0252-9602(16)30076-5

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STRONGLY NONLINEAR VARIATIONAL PARABOLIC EQUATIONS WITH p(x)-GROWTH

Elhoussine AZROUL1, Badr LAHMI1, Ahmed YOUSSFI2   

  1. 1. Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Laboratory LAMA, P. O. Box 1796 Atlas Fès 30000, Morocco;
    2. University Sidi Mohamed Ben Abdellah, National School of Applied Sciences, Laboratory of Engineering, Systems and Applications, P. O. Box 72-Principale, Fès 30000, Morocco
  • Received:2015-04-24 Revised:2015-07-21 Online:2016-10-25 Published:2016-10-25
  • Contact: Ahmed YOUSSFI,ahmed.youssfi@gmail.com E-mail:ahmed.youssfi@gmail.com

Abstract:

We study the Dirichlet problem associated to strongly nonlinear parabolic equations involving p(x) structure in W01,xLp(x)(Q). We prove the existence of weak solutions by applying Galerkin's approximation method.

Key words: nonlinear parabolic equations, existence, variable exponents, weak solution

CLC Number: 

  • 35K55
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