We consider inverse boundary value problems in Rn, n≥ 3, for operators which may be
written as first order perturbations of the Laplacian. The purpose is to obtain global …

We prove a Plancherel theorem for a nonlinear Fourier transform in two dimensions arising
in the Inverse Scattering method for the defocusing Davey–Stewartson II equation. We then …

Let Ω be a domain in R n whose boundary is C 1 if n≥ 3 or C 1, β if n= 2. We consider a
magnetic Schrödinger operator LW, q in Ω and show how to recover the boundary values of …

We consider the inverse boundary value problem for the dynamical steady-state convection-
diffusion equation. We prove that the first-order coefficient and the scalar potential are …

We consider the known classes of explicitly solvable Vekua equations and construct new
ones. Using the relationship between the Vekua equations and second order equations we …

In 1996, Nachman introduced the D-bar method to reconstruct a planar conductivity from the
electrical measurements at the boundary. His method consists of two steps: 1) using the …

This article deals with the D-bar method in order to determine the conductivity distribution
inside a body from the electrical measurements at the boundary. We introduce a new …

The inverse problem of determining two convection coefficients of an elliptic partial
differential equation by Dirichlet to Neumann map is discussed. It is well known that this is a …

The present article deals with the inverse problem for linear elliptic systems of first-order
equations with Riemann–Hilbert-type map in multiply connected domains. First, the …

The present paper deals with the inverse problem for linear elliptic equations of second
order from Dirichlet to Neumann map in multiply connected domains. Firstly the formulation …