Boundary stabilization for the wave equation in a bounded cylindrical domain
Kim Dang Phung - Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, China (email)
Abstract: We provide a polynomial decay rate for the energy of the wave equation with a dissipative boundary condition in a cylindrical trapped domain. A new kind of interpolation estimate for the wave equation with mixed Dirichlet-Neumann boundary condition is established from a construction based on a Fourier integral operator involving a good choice of weight functions.
Keywords: Wave equation, Mixed Dirichlet-Neumann boundary condition, Polynomial energy decay rate.
Received: January 2007; Revised: October 2007; Published: January 2008.
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