Existence and blow up of solutions of a viscoelastic m ( x ) -biharmonic equation with logarithmic source term

In this paper, we are concerned with a logarithmic nonlinear viscoelastic m ( x ) -biharmonic equation. Firstly, we proved the local existence of solutions by using the Faedo-Galerkin method. Later, we proved the blow up of solutions by using the concavity method.

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Bibliographic Details
Published inMathematical notes (Miskolci Egyetem (Hungary)) Vol. 25; no. 2; pp. 631 - 646
Main Authors Butakin, Gulistan, Piskin, Erhan
Format Journal Article
LanguageEnglish
Published Miskolc University of Miskolc 2024
Miskolc University Press
Subjects
Acoustics
Approximation
Biharmonic equations
Concavity
Galerkin method
Geophysics
Inequality
Logarithms
Quantum field theory
Viscoelasticity
Online AccessGet full text
ISSN1787-2405
1787-2413
DOI10.18514/MMN.2024.4843

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Summary:In this paper, we are concerned with a logarithmic nonlinear viscoelastic m ( x ) -biharmonic equation. Firstly, we proved the local existence of solutions by using the Faedo-Galerkin method. Later, we proved the blow up of solutions by using the concavity method.
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ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2024.4843