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December  2005, 4(4): 861-869. doi: 10.3934/cpaa.2005.4.861

Asymptotic behavior and nonexistence of wave equation with nonlinear boundary condition

Hongwei Zhang 1, and  Qingying Hu 1,

1. 

Department of Mathematics, Henan University of Technology, Zhengzhou 450052, China, China

Received  October 2004 Revised  May 2005 Published  September 2005

In this paper the asymptotic behavior and nonexistence of solution for the wave equation $u_{t t}-\Delta u=0$ with nonlinear boundary condition $\frac {\partial u}{\partial \nu}=-|u_t|^{m-2}u_t+|u|^{p-2}u$ are given.
Keywords: nonexistence of solution, nonlinear boundary condition, asymptotic behavior of solution, Wave equation.
Mathematics Subject Classification: Primary: 35L70, 35L20.
Citation: Hongwei Zhang, Qingying Hu. Asymptotic behavior and nonexistence of wave equation with nonlinear boundary condition. Communications on Pure & Applied Analysis, 2005, 4 (4) : 861-869. doi: 10.3934/cpaa.2005.4.861
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