Uniform stabilization for a semilinear wave equation with variable coefficients and nonlinear boundary conditions. (English) Zbl 1498.35078
Summary: The uniform stabilization of a semilinear wave equation with variable coefficients and nonlinear boundary conditions is considered. The uniform decay rate is established by the Riemannian geometry method.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35L20 | Initial-boundary value problems for second-order hyperbolic equations |
| 35L71 | Second-order semilinear hyperbolic equations |
Keywords:
nonlinear boundary conditions; uniform stabilization; variable coefficients; Riemannian geometry methodReferences:
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