Source and coefficient identification problems for the wave equation on graphs

2018

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DOI 10.1002/mma.5229
Data confidence 70 medium
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Abstract

Avdonin and Kurasov proposed a leaf peeling method based on the boundary control to recover a potential for the wave equation on a tree. Avdonin and Nicaise considered a source identification problem for the wave equation on a tree. This paper extends the methodology to the wave equation with unknown potential and source distributed parameters defined on a general tree graph.