Nonlinear parabolic capacity and renormalized solutions for PDEs with diffuse measure data and variable exponent

被引：0

作者：

Abdellaoui, Mohammed ^{[1
]}

Azroul, Elhoussine ^{[1
]}

Ouaro, Stanislas ^{[2
]}

Traore, Urbain ^{[2
]}

机构：

[1] Univ Fez, LAMA, Fac Sci Dhar El Mahraz, Dept Math, BP 1796, Atlas Fez, Morocco

[2] Univ Ouaga 1 Pr JKZ, UFR, LAME, Sci Exactes & Appl, 03 BP 7021, Ouagadougou 03, Burkina Faso

来源：

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES | 2019年 / 46卷 / 02期

关键词：

Generalized Lebesgue-Sobolev spaces; nonlinear parabolic equations; p(.)-parabolic capacity; renormalized solution; measure data; Electrorheological fluids; ELLIPTIC-EQUATIONS; REMOVABLE SINGULARITIES; ENTROPY SOLUTIONS; SOBOLEV SPACES; EXISTENCE; UNIQUENESS; BOUNDARY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the theory of capacity to generalized Sobolev spaces for the study of nonlinear parabolic equations. We introduce the definition and some properties of renormalized solutions and we show that diffuse measure can be decomposed in space and time. As consequence, we show the existence and uniqueness of renormalized solutions. The main technical tools used include estimates and compactness convergence.

引用

页码：269 / 297

页数：29

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