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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

On nonuniqueness for Calderón’s inverse problem

- A. Greenleaf, M. Lassas, G. Uhlmann
- Physics, Mathematics
- 20 February 2003

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 the body.

363 15- 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

Anisotropic conductivities that cannot be detected by EIT.

- A. Greenleaf, M. Lassas, G. Uhlmann
- Physics, Medicine
- Physiological measurement
- 1 May 2003

We construct anisotropic conductivities in dimension 3 that give rise to the same voltage and current measurements at the boundary of a body as a homogeneous isotropic conductivity. These… Expand

297 10

Can one use total variation prior for edge-preserving Bayesian inversion?

- M. Lassas, S. Siltanen
- Mathematics
- 6 August 2004

Estimation of non-discrete physical quantities from indirect linear measurements is considered. Bayesian solution of such an inverse problem involves discretizing the problem and expressing available… Expand

107 9- PDF

On determining a Riemannian manifold from the Dirichlet-to-Neumann map

- M. Lassas, A. Uhlmann
- Mathematics
- 1 September 2001

Abstract We study the inverse problem of determining a Riemannian manifold from the boundary data of harmonic functions. This problem arises in electrical impedance tomography, where one tries to… Expand

167 9- 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

On the existence and convergence of the solution of PML equations

- M. Lassas, E. Somersalo
- Mathematics, Computer Science
- Computing
- 1 May 1998

TLDR

135 7

Analysis of the PML equations in general convex geometry

- M. Lassas, E. Somersalo
- Mathematics
- Proceedings of the Royal Society of Edinburgh…
- 1 October 2001

In this work, we study a mesh termination scheme in acoustic scattering, known as the perfectly matched layer (PML) method. The main result of the paper is the following. Assume that the scatterer is… Expand

85 7

Inverse Problems With Partial Data for a Magnetic Schrödinger Operator in an Infinite Slab and on a Bounded Domain

- Katsiaryna Krupchyk, M. Lassas, G. Uhlmann
- Mathematics, Physics
- 5 April 2011

In this paper we study inverse boundary value problems with partial data for the magnetic Schrödinger operator. In the case of an infinite slab in $${\mathbb{R}^n}$$ , n ≥ 3, we establish that the… Expand

43 6- PDF

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