loading page

Reconstructing the wave speed and the source
  • Amin Boumenir,
  • Vu Kim Tuan
Amin Boumenir
University of West Georgia
Author Profile
Vu Kim Tuan
University of West Georgia
Author Profile

Abstract

We are concerned with the inverse problem of recovering the unknown wave speed and also the source in a multidimensional wave equation. We show that the wave speed coefficient can be reconstructed from the observations of the solution taken at a single point. For the source, we may need a sequence of observation points due to the presence of multiple spectrum and nodal lines. This new method, based on spectral estimation techniques, leads to a simple procedure that delivers both uniqueness and reconstruction of the coefficients at the same time.

Peer review status:UNDER REVIEW

21 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
21 Apr 2021Assigned to Editor
21 Apr 2021Submission Checks Completed
24 Apr 2021Reviewer(s) Assigned