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.

引用

页数：30

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