Entropy solution for a nonlinear parabolic problem with homogeneous Neumann boundary condition involving variable exponents

被引：0

作者：

Traore, U. ^{[1
]}

机构：

[1] Univ Joseph KI ZERBO, Lab Math & Informat LAMI, 03,BP 7021 Ouaga 03, Ouagadougou, Burkina Faso

来源：

CUBO-A MATHEMATICAL JOURNAL | 2021年 / 23卷 / 03期

关键词：

Nonlinear parabolic problema; variable exponents; entropy solution; Neumann-type boundary conditions; semi-discretization; RENORMALIZED SOLUTIONS; EXISTENCE; EQUATIONS; UNIQUENESS; WEAK;

D O I：

10.4067/S0719-06462021000300385

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence and uniqueness of an entropy solution for a non-linear parabolic equation with homogeneous Neumann boundary condition and initial data in L1. By a time discretization technique we analyze the existence, uniqueness and stability questions. The functional setting involves Lebesgue and Sobolev spaces with variable exponents.

引用

页码：385 / 409

页数：25

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