On a Class of Boundary Control Problems

Rainer Picard; Sascha Trostorff; Marcus Waurick

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arXiv · 1211.3634

On a Class of Boundary Control Problems

Rainer Picard·Sascha Trostorff·Marcus Waurick

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Abstract

We discuss a class of linear control problems in a Hilbert space setting, which covers diverse systems such as hyperbolic and parabolic equations with boundary control and boundary observation even including memory terms. We introduce abstract boundary data spaces in which the control and observation equations can be formulated without strong geometric constraints on the underlying domain. The results are applied to a boundary control problem for the equations of visco-elasticity.

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BibTeX RIS

Rainer Picard, Sascha Trostorff, Marcus Waurick. 2012-11-22. On a Class of Boundary Control Problems. https://arxiv.org/abs/1211.3634

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