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.
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页数：28
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