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  Lesky, Peter H.; Racke, Reinhard (2001): Nonlinear wave equations in infinite waveguides

Nonlinear wave equations in infinite waveguides

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We present sharp decay rates as time tends to infinity for solutions to linear Klein-Gordon and wave equations in domains with infinite boundaries like infinite waveguides, as well as the global well-posedness and the asymptotics for small data for the solutions to the associated nonlinear initial-boundary value problems.

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