Spectral theory for operator matrices related to models in mechanics

Trunk, Carsten GND

We derive various properties of the operator matrix A = 0 I −A0 −D , where A0 is a uniformly positive operator and A−1/2 0 DA−1/2 0 is a bounded non-negative operator in a Hilbert space H. Such operator matrices are associated with second order problems of the form z(t) + A0z(t) + D z(t) = 0 which are used as models for transverse motions of thin beams in the presence of damping.

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Trunk, Carsten: Spectral theory for operator matrices related to models in mechanics. 2007.

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