Existence of solutions to parabolic equation with L1 data in Musielak spaces

被引：0

作者：

Khellou, Mustafa Ait ^{[1
]}

Douiri, Sidi Mohamed ^{[2
]}

El Hadfi, Youssef ^{[3
]}

机构：

[1] Moulay Ismail Univ Meknes, Higher Normal Sch, Dept Sci, POB 3104, Toulal 50000, Meknes, Morocco

[2] Moulay Ismail Univ Meknes, Fac Sci & Tech, Dept Math, Lab MAIS,AMNEA Grp, POB 509, Boutalamine 52000, Errachidia, Morocco

[3] Sultan Moulay Slimane Univ, Natl Sch Appl Sci, Lab LIPIM, POB 77, Khouribga, Morocco

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2022年 / 8卷 / 01期

关键词：

Musielak spaces; Parabolic equations; log-Holder continuity; Poincare-type inequality; RENORMALIZED SOLUTIONS; SOBOLEV SPACES;

D O I：

10.1007/s41808-021-00139-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this research we prove the existence of solutions for some nonlinear parabolic equation with L-1 data in Musielak spaces, assuming essentially the log-Holder continuity condition on the Musielak function. Note also that the Delta(2)-condition is not assumed neither on the Musielak function nor on its conjugate.

引用

页码：1 / 21

页数：21

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