Existence of entropy solution for a nonlinear parabolic problem in weighted Sobolev space via optimization method

This paper investigates the existence result of entropy solution for some nonlinear degenerate parabolic problem in weighted Sobolov space with Dirichlet type boundary conditions and [L.sup.1] data. Keywords: nonlinear parabolic problem, opimization method, Dirichlet type boundary, entropy solution,...

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Published inMathematical modelling and analysis Vol. 28; no. 3; pp. 393 - 414
Main Authors Hmidouch, Lhoucine, Jamea, Ahmed, Laghdir, Mohamed
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 04.09.2023
Subjects
Analysis
Boundary conditions
Dirichlet problem
Dirichlet type boundary
Entropy
Entropy (Physics)
entropy solution
Hypotheses
Mathematical functions
Mathematical optimization
nonlinear parabolic problem
Nonlinear theories
opimization method
Optimization
Parabola
Sobolev space
weighted Sobolev space
Weighting (Statistics)
Morocco
entropy solution
Dirichlet type boundary
nonlinear parabolic problem
weighted Sobolev space
opimization method
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ISSN1392-6292
1648-3510
1648-3510
DOI10.3846/mma.2023.17010

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Summary:This paper investigates the existence result of entropy solution for some nonlinear degenerate parabolic problem in weighted Sobolov space with Dirichlet type boundary conditions and [L.sup.1] data. Keywords: nonlinear parabolic problem, opimization method, Dirichlet type boundary, entropy solution, weighted Sobolev space. AMS Subject Classification: 35A15; 35J60; 35J65; 74G30.
Bibliography:ObjectType-Article-1
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ISSN:1392-6292
1648-3510
1648-3510
DOI:10.3846/mma.2023.17010