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8 papers · 1 filter
Forward and inverse scattering on manifolds with asymptotically cylindrical ends
Hiroshi Isozaki, Yaroslav Kurylev, Matti Lassas
We study an inverse problem for a non-compact Riemannian manifold whose ends have the following properties : On each end, the Riemannian metric is assumed to be a short-range pertu…
Inverse boundary value problem for Maxwell equations with local data
Pedro Caro, Petri Ola, Mikko Salo
We prove a uniqueness theorem for an inverse boundary value problem for the Maxwell system with boundary data assumed known only in part of the bound- ary. We assume that the inacc…
Inverse problems with partial data for a Dirac system: a Carleman estimate approach
Mikko Salo, Leo Tzou
We prove that the material parameters in a Dirac system with magnetic and electric potentials are uniquely determined by measurements made on a possibly small subset of the boundar…
Carleman estimates and inverse problems for Dirac operators
Mikko Salo, Leo Tzou
We consider limiting Carleman weights for Dirac operators and prove corresponding Carleman estimates. In particular, we show that limiting Carleman weights for the Laplacian also s…
Determining nonsmooth first order terms from partial boundary measurements
Kim Knudsen, Mikko Salo
We extend results of Dos Santos Ferreira-Kenig-Sjoestrand-Uhlmann (math.AP/0601466) to less smooth coefficients, and we show that measurements on part of the boundary for the magne…
Complex spherical waves and inverse problems in unbounded domains
Mikko Salo, Jenn-Nan Wang
We consider the inverse conductivity problem of identifying embedded objects in unbounded domains. The main tool is a set of special solutions to the Schroedinger equation, the com…