Stabilization for the wave equation with variable coefficients and Balakrishnan-Taylor damping. (English) Zbl 1394.35044
Summary: In this paper, we consider the wave equation with variable coefficients and Balakrishnan-Taylor damping and source terms. This work is devoted to prove, under suitable conditions on the initial data, the uniform decay rates of the energy without imposing any restrictive growth near zero assumption on the damping term.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35L70 | Second-order nonlinear hyperbolic equations |
| 35B35 | Stability in context of PDEs |
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