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Currently displaying 1 – 4 of 4

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Metric tensor estimates, geometric convergence, and inverse boundary problems.

Anderson, Michael; Katsuda, Atsushi; Kurylev, Yaroslav; Lassas, Matti; Taylor, Michael — 2003

Electronic Research Announcements of the American Mathematical Society [electronic only]

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

Matti Lassas; Gunther Uhlmann — 2001

Annales scientifiques de l'École Normale Supérieure

Inverse Scattering for Waveguides

Hiroshi Isozaki; Yaroslav Kurylev; Matti Lassas

Séminaire de théorie spectrale et géométrie

We study the inverse scattering problem for a waveguide $(M, g)$ with cylindrical ends, $M = M^{c} \cup (\cup_{α = 1}^{N} (Ω^{α} \times (0, \infty)))$ , where each $Ω^{α} \times (0, \infty)$ has a product type metric. We prove, that the physical scattering matrix, measured on just one of these ends, determines $(M, g)$ up to an isometry.

Mathematics of Invisibility

Allan Greenleaf; Yaroslav Kurylev; Matti Lassas; Gunther Uhlmann — 2007

Journées Équations aux dérivées partielles

We will describe recent some of the recent theoretical progress on making objects invisible to electromagnetic waves based on singular transformations.

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