2 citations · 5 across the 4 of their papers we have counts for
5 papers · 1 filter
Maxwell's Equations with Scalar Impedance: Inverse Problems with data given on a part of the boundary
Yaroslav Kurylev, Matti Lassas, Erkki Somersalo
We study Maxwell's equations in time domain in an anisotropic medium. The goal of the paper is to solve an inverse boundary value problem for anisotropies characterized by scalar i…
Inverse Problems and Index Formulae for Dirac Operators
Yaroslav Kurylev, Matti Lassas
We consider a Dirac-type operator on a vector bundle over a compact Riemannian manifold with a nonempty boundary. The operator is specified by a boundary co…
Maxwell's Equations with Scalar Impedance: Direct and Inverse Problems
Yaroslav Kurylev, Matti Lassas, Erkki Somersalo
The article deals with electrodynamics in the presence of anisotropic materials having scalar wave impedance. Maxwell's equations written for differential forms over a 3-manifold a…
Equivalence of time-domain inverse problems and boundary spectral problems
Alexander Katchalov, Yaroslav Kurylev, Matti Lassas +1
We consider inverse problems for wave, heat and Schrödinger-type operators and corresponding spectral problems on domains of and compact manifolds. Also, we study inver…
Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem
Atsushi Katsuda, Yaroslav Kurylev, Matti Lassas
We consider stability and approximate reconstruction of Riemannian manifold when the finite number of eigenvalues of the Laplace-Beltrami operator and the boundary values of the co…