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Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping. (English) Zbl 0803.35088

Summary: A semilinear model of the wave equation with nonlinear boundary conditions and nonlinear boundary velocity feedback is considered. Under the assumption that the velocity boundary feedback is dissipative and that the other nonlinear terms are conservative, uniform decay rates for the solutions are established.

MSC:

35L70 Second-order nonlinear hyperbolic equations
93D10 Popov-type stability of feedback systems
35B37 PDE in connection with control problems (MSC2000)
35L20 Initial-boundary value problems for second-order hyperbolic equations
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