14 citations · 50 across the 9 of their papers we have counts for
14 papers
Inverse Problems for Screens
Emilia Blåsten, Petri Ola, Lassi Päivärinta
We study the inverse scattering from a screen with using only one incoming time--harmonic plane wave but with measurements of the scattered wave done at all directions. Especially…
Unique determination of the shape of a scattering screen from a passive measurement
Emilia Blåsten, Lassi Päivärinta, Sadia Sadique
We consider the problem of fixed frequency acoustic scattering from a sound-soft flat screen. More precisely the obstacle is restricted to a two-dimensional plane and interacting w…
Fractional Brownian motion and asymptotic Bayesian estimation
Lassi Päivärinta, Petteri Piiroinen
In this paper, we study the recovery of the Hurst parameter from a given discrete sample of fractional Brownian motion with statistical inverse theory. In particular, we show that…
Inverse acoustic scattering problem in half-space with anisotropic random impedance
Tapio Helin, Matti Lassas, Lassi Päivärinta
We study an inverse acoustic scattering problem in half-space with a probabilistic impedance boundary value condition. The Robin coefficient (surface impedance) is assumed to be a…
Strictly convex corners scatter
Lassi Päivärinta, Mikko Salo, Esa V. Vesalainen
We prove the absence of non-scattering energies for potentials in the plane having a corner of angle smaller than . This extends the earlier result of Blåsten, Päivärinta and Sy…
The inverse Robin boundary value problem in a half-space
Lassi Päivärinta, Miren Zubeldia
We study the inverse Robin problem for the Schrödinger equation in a half-space. The potential is assumed to be compactly supported. We first solve the direct problem for dimension…
Nonlinear Fourier analysis for discontinuous conductivities: computational results
Kari Astala, Lassi Päivärinta, Juan Manuel Reyes +1
Two reconstruction methods of Electrical Impedance Tomography (EIT) are numerically compared for nonsmooth conductivities in the plane based on the use of complex geometrical optic…
Completeness of generalized transmission eigenstates
Eemeli Blåsten, Lassi Päivärinta
We prove the completeness of the generalized (interior) transmission eigenstates for the acoustic and Schrödinger equations. The method uses the ellipticity theory of Agranovich an…
The borderlines of the invisibility and visibility for Calderon's inverse problem
Kari Astala, Matti Lassas, Lassi Paivarinta
We consider the determination of a conductivity function in a two-dimensional domain from the Cauchy data of the solutions of the conductivity equation on the boundary. We prove un…
A Borg-Levinson theorem for higher order elliptic operators
Katsiaryna Krupchyk, Lassi Päivärinta
We establish the Borg-Levinson theorem for elliptic operators of higher order with constant coefficients. The case of incomplete spectral data is also considered.
The interior transmission problem and bounds on transmission eigenvalues
Michael Hitrik, Katsiaryna Krupchyk, Petri Ola +1
We study the interior transmission eigenvalue problem for sign-definite multiplicative perturbations of the Laplacian in a bounded domain. We show that all but finitely many comple…
Transmission eigenvalues for elliptic operators
Michael Hitrik, Katsiaryna Krupchyk, Petri Ola +1
A reduction of the transmission eigenvalue problem for multiplicative sign-definite perturbations of elliptic operators with constant coefficients to an eigenvalue problem for a no…
Transmission eigenvalues for operators with constant coefficients
Michael Hitrik, Katsiaryna Krupchyk, Petri Ola +1
In this paper we study the interior transmission problem and transmission eigenvalues for multiplicative perturbations of linear partial differential operator of order with…
Inverse scattering for the magnetic Schroedinger operator
Lassi Päivärinta, Mikko Salo, Gunther Uhlmann
We show that fixed energy scattering measurements for the magnetic Schroedinger operator uniquely determine the magnetic field and electric potential in dimensions . The…