Abstract
In this work, we are concerned with uniform stabilization for an initial-boundary value problem associated with the Kirchhoff type wave equation with feedback terms and memory condition at the boundary. We prove that the energy decays exponentially when the boundary damping term has a linear growth near zero and polynomially when the boundary damping term has a polynomial growth near zero. Furthermore, we study the decay rate of the energy without imposing any restrictive growth assumption on the damping term near zero.
| Original language | English |
|---|---|
| Pages (from-to) | 377-415 |
| Number of pages | 39 |
| Journal | Journal of Integral Equations and Applications |
| Volume | 30 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2018 |
Keywords
- Energy decay rates
- Kirchhoff type wave equation
Quacquarelli Symonds(QS) Subject Topics
- Mathematics
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