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 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 backscattering Born approximation for two-dimensional quasi-linear biharmonic
operator is studied. We prove the precise formulae for the first nonlinear term of the Born …

We study a non-linear operator equation originating from a Cauchy problem for an elliptic
equation. The problem appears in applications where surface measurements are used to …

We survey our recently published results concerning scattering problems for the nonlinear
Schrödinger equation where h is a quite general nonlinear analogue of the index of …

We consider direct and inverse scattering problems for three-dimensional biharmonic
operator\(Hu=∆^ 2u+ Vu\), where\(∆\) is the Laplacian and\(V\) is a scalar valued …

We consider an inverse medium problem in two-and three-dimensional cases. Namely, we
investigate the problem of reconstruction of unknown compactly supported refractive index …

The inverse geothermal problem consist of estimating the temperature distribution below the
earth's surface using temperature and heat-flux measurements on the earth's surface. The …