Source and coefficient identification problems for the wave equation on graphs

Sergei Avdonin, Jonathan Bell, Victor Mikhaylov, Karlygash Nurtazina

Research output

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.

Original languageEnglish
Pages (from-to)5029-5039
JournalMathematical Methods in the Applied Sciences
Volume42
Issue number15
DOIs
Publication statusPublished - 1 Oct 2018

Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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