Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms

Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms

Abstract This work is devoted to studying a viscoelastic Kirchhoff-type equation with nonlinear boundary damping-source interactions in a bounded domain. Under suitable assumptions on the kernel function g, density function, and M, the global existence and general decay rate of solution are establis...

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Bibliographic Details
Main Authors: Meriem Saker, Nouri Boumaza, Billel Gheraibia
Format: Article
Language:English
Published: SpringerOpen 2023-05-01
Series:Boundary Value Problems
Subjects:
Viscoelastic wave equation
Kirchhoff-type equation
Density function
Global existence
General decay
Blow-up
Online Access:https://doi.org/10.1186/s13661-023-01746-x

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