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On existence and asymptotic stability of solutions of the degenerate wave equation with nonlinear boundary conditions. (English) Zbl 1026.35084

The authors prove existence of regular and weak solutions of a degenerate wave equation subject to nonlinear boundary conditions. Under additional assumptions they obtain uniform decay of solutions.

MSC:

35L80 Degenerate hyperbolic equations
35B40 Asymptotic behavior of solutions to PDEs
35L20 Initial-boundary value problems for second-order hyperbolic equations
35L70 Second-order nonlinear hyperbolic equations
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