Local solvability and stability of the generalized inverse Robin-Regge problem with complex coefficients

Abstract

We prove local solvability and stability of the inverse Robin-Regge problem in the general case, taking eigenvalue multiplicities into account. We develop the new approach based on the reduction of this inverse problem to the recovery of the Sturm-Liouville potential from the Cauchy data.

References in corpus (2)

• On a regularization approach to the inverse transmission eigenvalue problem
• A practical method for recovering Sturm-Liouville problems from the Weyl function

Cited by in corpus (3)

• Reconstruction techniques for complex potentials
• Direct and inverse spectral problems for the Schrodinger operator with double generalized Regge boundary conditions
• On the local solvability and stability of the partial inverse problems for the non-self-adjoint Sturm-Liouville operators with a discontinuity