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

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

2012-04-25

arxiv.org/abs/1204.5731v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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