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arXiv · 2210.03790

Exact Controllability for the Wave Equation on a Graph with Cycle and Delta-Prime Vertex Conditions

Sergei Avdonin·Julian Edward·Gunter Leugering
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Abstract

Exact controllability for the wave equation on a metric graph consisting of a cycle and two attached edges is proven. One boundary and one internal control are used. At the internal vertices, delta-prime conditions are satisfied. As a second example, we examine a tripod controlled at the root and the junction, while the leaves are fixed. These examples are key to understanding controllability properties in general metric graphs.

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Sergei Avdonin, Julian Edward, Gunter Leugering. 2022-10-07. Exact Controllability for the Wave Equation on a Graph with Cycle and Delta-Prime Vertex Conditions. https://arxiv.org/abs/2210.03790

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