Existence and Uniqueness Results for Quasilinear Parabolic Systems in Orlicz Spaces

被引：4

作者：

Balaadich, Farah ^{[1
]}

Azroul, Elhoussine ^{[1
]}

机构：

[1] Fac Sci Dhar El Mehraz, BP 1796, Atlas, Fez, Morocco

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2020年 / 26卷 / 03期

关键词：

Orlicz-Sobolev spaces; Quasilinear parabolic systems; Monotone operator; Young measure; EQUATIONS;

D O I：

10.1007/s10883-019-09447-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

yy We establish an existence and uniqueness result for quasilinear parabolic systems of the form partial derivative u/partial derivative t - div sigma(x, t, Du) = f in Q, where the source term f is assumed to be in W--1,W-x E-(M) over bar(Q; R-m). The proof is based on the theory of Young measures which permits to identify weak limits.

引用

页码：407 / 421

页数：15

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