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On an Inverse Dynamic Problem for the Wave Equation with a Potential on a Real Line. / Mikhaylov, A. S.; Mikhaylov, V. S.

In: Journal of Mathematical Sciences (United States), Vol. 238, No. 5, 07.05.2019, p. 701-714.

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

Harvard

Mikhaylov, AS & Mikhaylov, VS 2019, 'On an Inverse Dynamic Problem for the Wave Equation with a Potential on a Real Line', Journal of Mathematical Sciences (United States), vol. 238, no. 5, pp. 701-714. https://doi.org/10.1007/s10958-019-04268-z

APA

Mikhaylov, A. S., & Mikhaylov, V. S. (2019). On an Inverse Dynamic Problem for the Wave Equation with a Potential on a Real Line. Journal of Mathematical Sciences (United States), 238(5), 701-714. https://doi.org/10.1007/s10958-019-04268-z

Vancouver

Mikhaylov AS, Mikhaylov VS. On an Inverse Dynamic Problem for the Wave Equation with a Potential on a Real Line. Journal of Mathematical Sciences (United States). 2019 May 7;238(5):701-714. https://doi.org/10.1007/s10958-019-04268-z

Author

Mikhaylov, A. S. ; Mikhaylov, V. S. / On an Inverse Dynamic Problem for the Wave Equation with a Potential on a Real Line. In: Journal of Mathematical Sciences (United States). 2019 ; Vol. 238, No. 5. pp. 701-714.

BibTeX

@article{8c2bad2c44604cb7b1483676f7835c97,
title = "On an Inverse Dynamic Problem for the Wave Equation with a Potential on a Real Line",
abstract = "The inverse dynamic problem for the wave equation with a potential on a real line is considered. The forward initial-boundary value problem is set up with the help of boundary triplets. As an inverse data, an analog of the response operator (dynamic Dirichlet-to-Neumann map) is used. Equations of the inverse problem are derived; also, a relationship between the dynamic inverse problem and the spectral inverse problem from a matrix-valued measure is pointed out.",
author = "Mikhaylov, {A. S.} and Mikhaylov, {V. S.}",
year = "2019",
month = may,
day = "7",
doi = "10.1007/s10958-019-04268-z",
language = "English",
volume = "238",
pages = "701--714",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - On an Inverse Dynamic Problem for the Wave Equation with a Potential on a Real Line

AU - Mikhaylov, A. S.

AU - Mikhaylov, V. S.

PY - 2019/5/7

Y1 - 2019/5/7

N2 - The inverse dynamic problem for the wave equation with a potential on a real line is considered. The forward initial-boundary value problem is set up with the help of boundary triplets. As an inverse data, an analog of the response operator (dynamic Dirichlet-to-Neumann map) is used. Equations of the inverse problem are derived; also, a relationship between the dynamic inverse problem and the spectral inverse problem from a matrix-valued measure is pointed out.

AB - The inverse dynamic problem for the wave equation with a potential on a real line is considered. The forward initial-boundary value problem is set up with the help of boundary triplets. As an inverse data, an analog of the response operator (dynamic Dirichlet-to-Neumann map) is used. Equations of the inverse problem are derived; also, a relationship between the dynamic inverse problem and the spectral inverse problem from a matrix-valued measure is pointed out.

UR - http://www.scopus.com/inward/record.url?scp=85064931050&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04268-z

DO - 10.1007/s10958-019-04268-z

M3 - Article

AN - SCOPUS:85064931050

VL - 238

SP - 701

EP - 714

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 41836158