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Entropy Unilateral Solution for Some Noncoercive Nonlinear Parabolic Problems Via a Sequence of Penalized Equations

Entropy Unilateral Solution for Some Noncoercive Nonlinear Parabolic Problems Via a Sequence of Penalized Equations

作     者:Ahmed Aberqi J.Bennouna H.Redwane 

作者机构:Universite Sidi Mohammed Ben Abdellah Departement de MathmatiquesLaboratoire LISA Ecole Nationale des Sciences Appliques Fes Morocco Faculte des Sciences Juridiques Economiques ei Sociales Universite Hassan 1 B.P 784 SettatMorocco 

出 版 物:《Analysis in Theory and Applications》 (分析理论与应用(英文刊))

年 卷 期:2017年第33卷第1期

页      面:29-45页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主  题:Obstacle parabolic problems entropy solutions penalization methods. 

摘      要:We give an existence result of the obstacle parabolic equations3b(x,u) div(a(x,t,u, Vu))+div((x,t,u))=f in QT, 3twhere b(x,u) is bounded function ot u, the term atva,x,r,u, v u)) is a Letay type operator and the function is a nonlinear lower order and satisfy only the growth condition. The second term belongs to L1 (QT). The proof of an existence solution is based on the penalization methods.

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