Global solutions and exponential decay to a Klein–Gordon equation of Kirchhoff-Carrier type with strong damping and nonlinear logarithmic source term

This paper is concerned with the existence and exponential stability of the global solution to a Klein–Gordon equation of Kirchhoff-Carrier type with strong damping −Δutand logarithmic source term uln|u|R2. We apply the potential well corresponding to the logarithmic nonlinearity. We prove the globa...

Full description

Bibliographic Details
Main Authors: S.M.S. Cordeiro, D.C. Pereira, J. Ferreira, C.A. Raposo
Format: Article
Language:English
Published: Elsevier 2021-06-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818120300188