Entropy Unilateral Solution for Some Noncoercive Nonlinear Parabolic Problems Via a Sequence of Penalized Equations |
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| Authors: | Ahmed Aberqi J.Bennouna H.Redwane |
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| Affiliation: | 1. Université Sidi Mohammed Ben Abdellah, Département de Mathématiques,Laboratoire LISA, Ecole Nationale des Sciences Appliqués, Fes, Morocco;2. Faculté des Sciences Juridiques, Economiques et Sociales, Université Hassan 1, B.P 784, Settat.Morocco |
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| Abstract: | We give an existence result of the obstacle parabolic equations(6)b(x,u)/(6)t-div(a(x,t,u,▽u))+div(φ(x,t,u))=f in QT,where b(x,u) is bounded function of u,the term-div(a(x,t,u,▽u)) is a Leray-Lions type operator and the function φ is a nonlinear lower order and satisfy only the growth condition.The second term f belongs to L1 (QT).The proof of an existence solution is based on the penalization methods. |
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| Keywords: | Obstacle parabolic problems entropy solutions penalization methods |
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