Existence and uniqueness of renormalized periodic solution to a nonlinear parabolic problem with variable exponent and L1 data

被引：10

作者：

Charkaoui, Abderrahim ^{[1
]}

Alaa, Nour Eddine ^{[1
]}

机构：

[1] Univ Cadi Ayyad, Fac Sci & Technol, Lab LAMAI, BP 549,St Abdelkarim Elkhattabi, Marrakech 40000, Morocco

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 506卷 / 02期

关键词：

Periodic solutions; Variable exponent; Renormalized solutions; L-1; data; Weak solutions; NONSTANDARD GROWTH CONDITION; GLOBAL EXISTENCE; EQUATIONS; GRADIENT; RESPECT; SYSTEM; MODEL;

D O I：

10.1016/j.jmaa.2021.125674

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of nonlinear periodic equations having p(x)-growth conditions and L-1 data. By using generalized Lebesgue and Sobolev spaces with variable exponent, we establish the existence and uniqueness of a renormalized periodic solution to the studied problem. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：28

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