Journal of Integral Equations and Applications
- J. Integral Equations Applications
- Volume 30, Number 3 (2018), 377-415.
Energy decay rates for solutions of the Kirchhoff type wave equation with boundary damping and source terms
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.
J. Integral Equations Applications, Volume 30, Number 3 (2018), 377-415.
First available in Project Euclid: 8 November 2018
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Ha, Tae Gab. Energy decay rates for solutions of the Kirchhoff type wave equation with boundary damping and source terms. J. Integral Equations Applications 30 (2018), no. 3, 377--415. doi:10.1216/JIE-2018-30-3-377. https://projecteuclid.org/euclid.jiea/1541668119