Energy decay rates for solutions of the wave equation with boundary damping and source term |
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Authors: | Jong Yeoul Park Tae Gab Ha Yong Han Kang |
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Institution: | 1. Department of Mathematics, Pusan National University, Pusan, 609-735, Korea 2. Department of Mathematics, University of Ulsan, Ulsan, 680-749, Korea
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Abstract: | In this paper, we consider the wave equation $$u'' - \Delta u = |u|^\rho u$$ with the following nonlinear boundary condition $$\frac{\partial u}{\partial \nu} + \int\limits^t_0 k(t-s,x)u'(s){\rm d}s + a(x)g(u') = 0.$$ We show energy decay rates for solutions of the wave equation in bounded domain with nonlinear boundary damping and source term. |
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