Existence, uniqueness and exponential decay of solutions to Kirchhoff equation in R^n
We discuss the global well-posedness and uniform exponential stability for the Kirchhoff equation in $\mathbb{R}^n$ $$ u_{tt}-M\Big(\int_{\mathbb{R}^n}|\nabla u|^2dx\Big)\Delta u +\lambda u_t=0 \quad \text{in } \mathbb{R}^n\times (0,\infty). $$ The global solvability is proved when the initial...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-09-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/247/abstr.html |