2 citations · 6 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…