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Source and coefficient identification problems for the wave equation on graphs
Author(s) -
Avdonin Sergei,
Bell Jonathan,
Mikhaylov Victor,
Nurtazina Karlygash
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5229
Subject(s) - mathematics , wave equation , identification (biology) , graph , boundary (topology) , tree (set theory) , boundary value problem , mathematical analysis , discrete mathematics , botany , biology
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.