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Source and coefficient identification problems for the wave equation on graphs. / Avdonin, Sergei; Bell, Jonathan; Mikhaylov, Victor; Nurtazina, Karlygash.

In: Mathematical Methods in the Applied Sciences, Vol. 42, No. 15, 01.10.2018, p. 5029-5039.

Research output: Contribution to journal › Article › peer-review

Harvard

Avdonin, S, Bell, J, Mikhaylov, V & Nurtazina, K 2018, 'Source and coefficient identification problems for the wave equation on graphs', Mathematical Methods in the Applied Sciences, vol. 42, no. 15, pp. 5029-5039. https://doi.org/10.1002/mma.5229

APA

Avdonin, S., Bell, J., Mikhaylov, V., & Nurtazina, K. (2018). Source and coefficient identification problems for the wave equation on graphs. Mathematical Methods in the Applied Sciences, 42(15), 5029-5039. https://doi.org/10.1002/mma.5229

Vancouver

Avdonin S, Bell J, Mikhaylov V, Nurtazina K. Source and coefficient identification problems for the wave equation on graphs. Mathematical Methods in the Applied Sciences. 2018 Oct 1;42(15):5029-5039. https://doi.org/10.1002/mma.5229

Author

Avdonin, Sergei ; Bell, Jonathan ; Mikhaylov, Victor ; Nurtazina, Karlygash. / Source and coefficient identification problems for the wave equation on graphs. In: Mathematical Methods in the Applied Sciences. 2018 ; Vol. 42, No. 15. pp. 5029-5039.

BibTeX

@article{731d7c8c6ec64e1587d0a21f428eb2de,
title = "Source and coefficient identification problems for the wave equation on graphs",
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.",
keywords = "boundary control method, inverse problems, inverse source, metric tree graph, wave equation",
author = "Sergei Avdonin and Jonathan Bell and Victor Mikhaylov and Karlygash Nurtazina",
year = "2018",
month = oct,
day = "1",
doi = "10.1002/mma.5229",
language = "English",
volume = "42",
pages = "5029--5039",
journal = "Mathematical Methods in the Applied Sciences",
issn = "0170-4214",
publisher = "Wiley-Blackwell",
number = "15",

}

RIS

TY - JOUR

T1 - Source and coefficient identification problems for the wave equation on graphs

AU - Avdonin, Sergei

AU - Bell, Jonathan

AU - Mikhaylov, Victor

AU - Nurtazina, Karlygash

PY - 2018/10/1

Y1 - 2018/10/1

N2 - 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.

AB - 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.

KW - boundary control method

KW - inverse problems

KW - inverse source

KW - metric tree graph

KW - wave equation

UR - http://www.scopus.com/inward/record.url?scp=85055873287&partnerID=8YFLogxK

U2 - 10.1002/mma.5229

DO - 10.1002/mma.5229

M3 - Article

AN - SCOPUS:85055873287

VL - 42

SP - 5029

EP - 5039

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

SN - 0170-4214

IS - 15

ER -

ID: 35528972