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...
Main Authors: | , , , |
---|---|
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 |