An inverse spectral problem for the Laplacian

Abstract

We propose an algorithm for the recovery of a potential from the knowledge of the eigenvalues of the Laplacian operator and the traces of its eigenfunctions. This inverse spectral problem is solved by recasting the operator as an infinite matrix and using transition matrices together with spectral projections on the boundary.

Keywords:

• Inverse spectral problem
• Boundary inversion
• Schrodinger operator
• 1991 Mathematics Subject Classification: 35R30

Notes

E-mail: [email protected]

Additional information

Notes on contributors

A. Boumenir *

E-mail: [email protected]