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

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.

Keywords:

• Inverse problems
• wave equation
• Carleman estimates
• partial boundary data
• time-dependent coefficient

Mathematics Subject Classifications (2010):

• 35L05
• 35L20
• 35R30

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.