Existence and uniqueness of a renormalized solution of parabolic problems in Orlicz spaces

被引：17

作者：

Abercji, A. ^{[1
]}

Bennouna, J. ^{[2
]}

Elmassoudi, M. ^{[2
]}

Hammoumi, M. ^{[2
]}

机构：

[1] Sidi Mohammed Ben Abdellah Univ, Sch Math Sci, Lab LISA, Atlas Fez, Morocco

[2] Sidi Mohammed Ben Abdellah Univ, FSDM, Lab LAMA, BP 1796, Atlas Fez, Morocco

来源：

MONATSHEFTE FUR MATHEMATIK | 2019年 / 189卷 / 02期

关键词：

Nonlinear parabolic equations; Orlicz spaces; Renormalized solutions; Uniqueness; EQUATIONS;

D O I：

10.1007/s00605-018-01260-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we shall be concerned with the existence and uniqueness result to the nonlinear parabolic equations whose prototype is where -.Mu= -div((1 + | u|) 2Du log(e+ Du) | Du|), c. (L 8 (QT)) N and M(t) = t log(e + t) is an N-function. The data f and b(u0) in L1(QT) and L-1(Omega).

引用

页码：195 / 219

页数：25

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