We discuss a time-harmonic inverse scattering problem for a nonlinear Helmholtz equation
with compactly supported inhomogeneous scattering objects that are described by a …

Original papers Original papers are not included in the electronic version of the dissertation.
Harju, M., Kultima, J., Serov, V., & Tyni, T.(2021). Two-dimensional inverse scattering for …

We study the inverse scattering problem with fixed observation angle data for a non-linear
Schrödinger equation in 2D. We show that the main singularities of an unknown potential …

We investigate two inverse scattering problems for the nonlinear Schrödinger equation-Δu
(x)+ h (x,| u (x)|) u (x)= k²u (x), x∈ ℝ², where h is a very general and possibly singular …

We consider an inverse scattering problem of recovering the unknown coefficients of quasi-
linearly perturbed biharmonic operator on the line. These unknown complex-valued …

We consider an inverse scattering problem of recovering the unknown coefficients of a quasi-
linearly perturbed biharmonic operator in the three-dimensional case. These unknown …

This work studies the direct and inverse fixed energy scattering problem for the two-
dimensional Schrödinger equation with a rather limited nonlinear index of refraction. In …

We consider an inverse scattering problem for the Schrödinger operator in two dimensions.
The aim of this work is to discuss some first numerical results on Saito's formula. Saito's …

The subject of this work concerns the classical direct and inverse scattering problems for
quasi-linear perturbations of the two-dimensional biharmonic operator. The quasi-linear …

The inverse fixed angle problem for operator $\Delta^ 2 u+ V (x,| u|) u $ is considered in
dimensions $ n= 2, 3$. We prove that the difference between an inverse fixed angle Born …