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Inverse Boundary Spectral Problems

- A. Katchalov, Y. Kurylev, M. Lassas
- Mathematics
- 30 July 2001

© 2001 by Chapman & Hall/CRC. Inverse boundary problems are a rapidly developing area of applied mathematics with applications throughout physics and the engineering sciences. However, the… Expand

287 21- PDF

The Calderón problem in transversally anisotropic geometries

- D. D. S. Ferreira, Y. Kurylev, M. Lassas, M. Salo
- Mathematics
- 6 May 2013

We consider the anisotropic Calderon problem of recovering a conductivity matrix or a Riemannian metric from electrical boundary measurements in three and higher dimensions. In the earlier work… Expand

77 12- PDF

A graph discretization of the Laplace-Beltrami operator

- D. Burago, S. Ivanov, Y. Kurylev
- Mathematics
- 10 January 2013

We show that eigenvalues and eigenfunctions of the Laplace-Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator… Expand

51 10- PDF

Full-Wave Invisibility of Active Devices at All Frequencies

- A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann
- Mathematics, Physics
- 7 November 2006

There has recently been considerable interest in the possibility, both theoretical and practical, of invisibility (or “cloaking”) from observation by electromagnetic (EM) waves. Here, we prove… Expand

225 8- PDF

Boundary regularity for the Ricci equation, geometric convergence, and Gel’fand’s inverse boundary problem

- M. Anderson, Atsushi Katsuda, Y. Kurylev, M. Lassas, M. Taylor
- Mathematics
- 24 November 2002

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 bounds, on the… Expand

102 6- PDF

Iterative time-reversal control for inverse problems

- K. Bingham, Y. Kurylev, M. Lassas, S. Siltanen
- Mathematics
- 2008

A novel method to solve inverse problems for the wave equation is introduced.
The method is a combination of the boundary control method and an iterative
time reversal scheme, leading to adaptive… Expand

39 5- PDF

Introduction to spectral theory and inverse problem on asymptotically hyperbolic manifolds

- H. Isozaki, Y. Kurylev
- Mathematics
- 26 February 2011

We study the spectral theory and inverse problem on asymptotically hyperbolic manifolds. The main subjects are as follows: (1)Location of the essential spectrum. (2)Absence of eigenvalues embedded in… Expand

26 5- PDF

Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics

- A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann
- Computer Science, Physics
- SIAM Rev.
- 1 February 2009

TLDR

205 3- PDF

Isotropic transformation optics: approximate acoustic and quantum cloaking

- A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann
- Physics, Mathematics
- 31 May 2008

Transformation optics constructions have allowed the design of electromagnetic, acoustic and quantum parameters that steer waves around a region without penetrating it, so that the region is hidden… Expand

86 3- PDF

Inverse problems for the connection Laplacian

- Y. Kurylev, L. Oksanen, G. Paternain
- Mathematics
- 9 September 2015

We reconstruct a Riemannian manifold and a Hermitian vector bundle with compatible connection from the hyperbolic Dirichlet-to-Neumann operator associated with the wave equation of the connection… Expand

29 3- PDF

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