Source and coefficient identification problems for the wave equation on graphs. (31st October 2018)

• Record Type: Journal Article
• Authors: Avdonin, Sergei; Bell, Jonathan; Mikhaylov, Victor; Nurtazina, Karlygash
• Other Names: Kravchenko Vladislav V. guestEditor.; Porter R. Michael guestEditor.; Torba Sergii M. guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 42:Number 15(2019)
• Page Start: 5029
• Page End: 5039
• Publication Date: 2018-10-31
• Subjects: boundary control method -- inverse problems -- inverse source -- metric tree graph -- wave equation; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5229
• Languages: English
• ISSNs: 0170-4214

Abstract

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.