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Boundary triplets for skew-symmetric operators and the generation of strongly continuous semigroups

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Abstract

We give a self-contained and streamlined exposition of a generation theorem for C0-semigroups based on the method of boundary triplets. We apply this theorem to port-Hamiltonian systems where we discuss recent results appearing in stability and control theory. We give detailed proofs and require only a basic knowledge of operator and semigroup theory.

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  1. School of Mathematics and Natural Sciences, University of Wuppertal, Gaußstraße 20, 42119, Wuppertal, Germany

    S.-A. Wegner

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  1. S.-A. Wegner
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Wegner, SA. Boundary triplets for skew-symmetric operators and the generation of strongly continuous semigroups. Anal Math 43, 657–686 (2017). https://doi.org/10.1007/s10476-017-0509-6

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  • DOI: https://doi.org/10.1007/s10476-017-0509-6

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