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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 16
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Articles

Determining the time-dependent matrix potential in a wave equation from partial boundary data

Rohit Kumar Mishraa Department of Mathematics, University of Texas at Arlington, Arlington, TX, USAView further author information
&
Manmohan Vashisthb Beijing Computational Science Research Center, Beijing, People's Republic of ChinaCorrespondence[email protected]
[email protected]
ORCID Iconhttps://orcid.org/0000-0002-3417-4055View further author information
ORCID Icon
Pages 3492-3508 | Received 31 Oct 2019, Accepted 20 Jan 2020, Published online: 03 Feb 2020
 
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ABSTRACT

We study the inverse problem for determining the time-dependent matrix potential appearing in the wave equation. We prove the unique determination of potential from the knowledge of solution measured on a part of the boundary.

Mathematics Subject Classifications (2010):

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The work of second author is supported by NSAF grant no. U1930402.

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