Source and coefficient identification problems for the wave equation on graphs | Zendy

Avdonin Sergei | Zendy; Bell Jonathan | Zendy; Mikhaylov Victor | Zendy; Nurtazina Karlygash | Zendy

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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.

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