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.