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Abstract |
We present spectral and scattering theories for a differential operator with a dissipation term that can be used to describe the dynamics of a tectonic plate with dissipative boundary conditions. The ...generating operator is non-selfadjoint causing some additional complexity. This difficulty has been overcome by developing the selfadjoint-dilation theory. We develop a functional model for the dissipative operator and the associated scattering theory of Lax-Phillips type.show more
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