Asymptotic behavior and nonexistence of wave equation with nonlinear boundary condition

Hongwei Zhang; Qingying Hu

doi:10.3934/cpaa.2005.4.861

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2005, Volume 4, Issue 4: 861-869. Doi: 10.3934/cpaa.2005.4.861

This issue Previous Article The Boussinesq system:dynamics on the center manifold Next Article Structure of positive radial solutions including singular solutions to Matukuma's equation

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

Received: September 30, 2004

Revised: April 30, 2005

Published: November 2005

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Abstract

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.

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Mathematics Subject Classification: Primary: 35L70, 35L20.

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