Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space

The initial value problem and global properties of solutions are studied for the vector equation: (‖u′‖lu′)′+‖A12u‖βAu+g(u′)=0 in a finite dimensional Hilbert space under suitable assumptions on g.

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Bibliographic Details
Published inNonlinear analysis Vol. 161; pp. 157 - 181
Main Authors Abdelli, Mama, Anguiano, María, Haraux, Alain
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.09.2017
Elsevier BV
Elsevier
Subjects
Analysis of PDEs
Decay rate
Dynamical Systems
Existence of the solution
Functional Analysis
Hilbert space
Mathematical analysis
Mathematics
Nonlinear equations
Uniqueness
Uniqueness of the solution
Existence of the solution
34E99
Decay rate
Uniqueness of the solution
34A34
34C10
34D05
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Summary:The initial value problem and global properties of solutions are studied for the vector equation: (‖u′‖lu′)′+‖A12u‖βAu+g(u′)=0 in a finite dimensional Hilbert space under suitable assumptions on g.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2017.06.001