Article citationsMore>>

Mandache, N. (2001) Exponential Instability in an Inverse Problem for Schrödinger Equation. Inverse Problems, 17, 1435-1444.
https://doi.org/10.1088/0266-5611/17/5/313

has been cited by the following article:

• TITLE: An Explicit Formula of the Dirichlet-to-Neumann Map for a Radial Potential in Dimension 3

  AUTHORS: Fagueye Ndiaye

  KEYWORDS: Calderón’s Problem, Schrödinger Operator, Potential, Inverse Potential Problem, Dirichlet-to-Neuman Map, Numerical Simulations, Lipschitz Stability

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.2, February 21, 2022

  ABSTRACT: In this paper, we provide an explicit expression for the full Dirichlet-to-Neumann map corresponding to a radial potential for the Schrödinger equation in 3-dimensional. We numerically implement the coefficients of the explicit formulas. In this work, Lipschitz type stability is established near the edge of the domain with giving estimation constant. That is necessary for the reconstruction of the potential from Dirichlet-to-Neuman map.