20 citations · 22 across the 6 of their papers we have counts for
10 papers
Cones with convoluted geometry that always scatter or radiate
Emilia Blåsten, Valter Pohjola
We investigate fixed energy scattering from conical potentials having an irregular cross-section. The incident wave can be any arbitrary non-trivial Herglotz wave. We show that a l…
On quantitative Runge approximation for the time harmonic Maxwell equations
Valter Pohjola
Here we derive some results on so called quantitative Runge approximation in the case of the time-harmonic Maxwell equations. This provides a Runge approximation having more explic…
Dimension bounds in monotonicity methods for the Helmholtz equation
Bastian Harrach, Valter Pohjola, Mikko Salo
The article [HPS] established a monotonicity inequality for the Helmholtz equation and presented applications to shape detection and local uniqueness in inverse boundary problems.…
Monotonicity and local uniqueness for the Helmholtz equation
Bastian Harrach, Valter Pohjola, Mikko Salo
This work extends monotonicity-based methods in inverse problems to the case of the Helmholtz (or stationary Schrödinger) equation in a bounded domain for fixed…
Multidimensional Borg--Levinson theorems for unbounded potentials
Valter Pohjola
We prove that the Dirichlet eigenvalues and Neumann boundary data of the corresponding eigenfunctions of the operator , determine the potential , when $q \in L^{n/2}(Ω,\m…
Inverse scattering for the magnetic Schrödinger operator on surfaces with Euclidean ends
Valter Pohjola, Leo Tzou
We prove a fixed frequency inverse scattering result for the magnetic Schrödinger operator (or connection Laplacian) on surfaces with Euclidean ends. We show that, under suitable d…
A uniqueness result for an inverse problem of the steady state convection-diffusion equation
Valter Pohjola
We consider the inverse boundary value problem for the steady state convection diffusion equation. We prove that a velocity field , is uniquely determined by the Dirichlet-to-Ne…
Stability estimates for an inverse problem for the magnetic Schrödinger operator
Pedro Caro, Valter Pohjola
In this paper we prove stable determination of an inverse boundary value problem associated to a magnetic Schrödinger operator assuming that the magnetic and electric potentials ar…
An Inverse problem for the Magnetic Schrödinger Operator on a Half Space with partial data
Valter Pohjola
In this paper we prove uniqueness for an inverse boundary value problem for the magnetic Schrödinger equation in a half space, with partial data. We prove that the curl of the magn…
An Inverse Boundary Value Problem for the Magnetic Schrödinger Operator on a Half Space
Valter Pohjola
This licentiate thesis is concerned with an inverse boundary value problem for the magnetic Schrödinger equation in a half space, for compactly supported potentials $A\in W^{1,\inf…