Existence and Uniqueness of Renormalized Solutions to Nonlinear Parabolic Equations with Lower Order Term and Diffuse Measure Data

被引：4
|
作者：
Bouajaja, A. [2 ]
Redwane, H. [2 ]
Marah, A. [1 ]
机构：
[1] Univ Hassan 1, Lab MISI, FST Settat, Settat 26000, Morocco
[2] Univ Hassan 1, Fac Sci Jurid Econ & Sociales, BP 764, Settat, Morocco
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2018年 / 15卷 / 04期
关键词：
Nonlinear parabolic equations; existence; uniqueness; renormalized solutions; diffuse measure;
D O I：
10.1007/s00009-018-1223-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Here we give an existence and uniqueness result of a renormalized solution for a class of nonlinear parabolic equations. b(u). t div( a(x, t,. u)) + div(F(x, t, u)) = mu, where the right side is a measure data, b is a strictly increasing C 1 - function, - div(a(x, t,. u)) is a Leray- Lions type operator with growth |. u| p- 1 in. u and F(x, t, u) is a nonlinear lower order term.
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收藏
页数：30
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