2 citations · 6 across the 6 of their papers we have counts for
10 papers
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…
Calderon's inverse problem for anisotropic conductivity in the plane
Kari Astala, Matti Lassas, Lassi Paivarinta
We study inverse conductivity problem for an anisotropic conductivity in in bounded and unbounded domains. Also, we give applications of the results in the case when Dir…
On nonuniqueness for Calderon's inverse problem
Allan Greenleaf, Matti Lassas, Gunther Uhlmann
We construct anisotropic conductivities with the same Dirichlet-to-Neumann map as a homogeneous isotropic conductivity. These conductivities are singular close to a surface inside…
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…
Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem
Michael T. Anderson, Atsushi Katsuda, Yaroslav Kurylev +2
This paper explores and ties together three themes. The first is to establish regularity of a metric tensor, on a manifold with boundary, on which there are given Ricci curvature b…