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paper

A Class of Evolutionary Problems with an Application to Acoustic Waves with Impedance Type Boundary Conditions

arXiv:1204.5731 · doi:10.1007/978-3-0348-0297-0

Abstract

A class of evolutionary operator equations is studied. As an application the equations of linear acoustics are considered with complex material laws. A dynamic boundary condition is imposed which in the time-harmonic case corresponds to an impedance or Robin boundary condition. Memory and delay effects in the interior and also on the boundary are built into the problem class.