2008•Discrete and Continuous Dynamical SystemsRequires access

Boundary stabilization for the wave equation in a bounded cylindrical domain

Kim Dang Phung

Abstract

We provide a polynomial decay rate for the energy of the waveequation with a dissipative boundary condition in a cylindricaltrapped domain. A new kind of interpolation estimate for the waveequation with mixed Dirichlet-Neumann boundary condition isestablished from a construction based on a Fourier integraloperator involving a good choice of weight functions.

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Key concepts: Bounded function, Neumann boundary condition, Boundary (topology), Mathematical analysis, Dirichlet boundary condition, Boundary value problem, Mathematics, Domain (mathematical analysis)