Article Contents
Article Contents

# Boundary stabilization for the wave equation in a bounded cylindrical domain

• 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.
Mathematics Subject Classification: Primary: 35L05, 35S30; Secondary: 49J20.

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