Rothe time-discretizationmethod for a nonlinear parabolic p(u)-Laplacian problem with Fourier-type boundary condition and L1-data

被引：0

作者：

Sabri, Abdelali ^{[1
]}

Jamea, Ahmed ^{[2
]}

机构：

[1] Univ Chouaib Doukkali, Fac Sci, El Jadida, Morocco

[2] Ctr Reg Metiers Educ & Format Casablanca Settat, El Jadida, Morocco

来源：

RICERCHE DI MATEMATICA | 2022年 / 71卷 / 02期

关键词：

Entropy solution; p(u)-Laplacian; Semi-discretization; Rothe's method; Variable exponent Sobolev space; VARIABLE EXPONENT; ENTROPY SOLUTIONS; EXISTENCE; EQUATIONS;

D O I：

10.1007/s11587-020-00544-2

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 results of entropy solutions to a class of nonlinear parabolic p(u)-Laplacian problem with Fourier-type boundary conditions and L-1-data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.

引用

页码：609 / 632

页数：24

共 5 条

[1] Nonlinear elliptic p(u)-Laplacian problem with Fourier boundary condition
Ouaro, Stanislas
Sawadogo, Noufou
CUBO-A MATHEMATICAL JOURNAL, 2020, 22 (01): : 85 - 124
[2] Rothe time-discretization method for a nonlinear parabolic p(u) -Laplacian problem with Fourier-type boundary condition and L1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^1$$\end{document}-data
Abdelali Sabri
Ahmed Jamea
Ricerche di Matematica, 2022, 71 (2) : 609 - 632
[3] Nonlinear parabolic problems with Neumann-type boundary conditions and L1-data
El Hachimi, Abderrahmane
Jamea, Ahmed
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2007, (27) : 1 - 22
[4] Nonlinear Elliptic Problems Involving the Generalized p(u) -Laplacian Operator with Fourier Boundary Condition
Temghart, Said Ait
Allalou, Chakir
Hilal, Khalid
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41 : 19 - 19
[5] Integral Solution for a Parabolic Equation Driven by the p(x)-Laplacian Operator with Nonlinear Boundary Conditions and L1 Data
Alaa, Nour Eddine
Charkaoui, Abderrahim
El Ghabi, Malika
El Hathout, Mohamed
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (05)

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