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20072026
most citedConvexification of Restricted Dirichlet-to-Neumann Map

56 citations · 510 across the 96 of their papers we have counts for

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Showing 2014 · math-phShow all

5 papers · 2 filters

math-ph2014★ 4 cited

Reconstruction formula for a 3-d phaseless inverse scattering problem for the Schrodinger equation

Michael V. Klibanov, Vladimir G. Romanov

The inverse scattering problem of the reconstruction of the unknown potential with compact support in the 3-d Schrödinger equation is considered. Only the modulus of the scattering…

math-ph2014

Carleman estimates for the regularization of ill-posed Cauchy problems

Michael V. Klibanov

This is a survey, which is a continuation of the previous survey of the author about applications of Carleman estimates to Inverse Problems, J. Inverse and Ill-Posed Problems, 21,…

math-ph2014★ 4 cited

Recovering of dielectric constants of explosives via a globally strictly convex cost functional

Michael V. Klibanov, Nguyen Trung Thành

The inverse problem of estimating dielectric constants of explosives using boundary measurements of one component of the scattered electric field is addressed. It is formulated as…

math-ph2014

Imaging of buried objects from experimental backscattering time dependent measurements using a globally convergent inverse algorithm

Nguyen Trung Thành, Larisa Beilina, Michael V. Klibanov +1

We consider the problem of imaging of objects buried under the ground using backscattering experimental time dependent measurements generated by a single point source or one incide…

math-ph2014

On the first solution of a long standing problem: uniqueness of the phaseless quantum inverse scattering problem in 3-d

Michael V. Klibanov

After publishing his recent paper in SIAM J. Appl. Math, 74, 392-410, 2014 the author has realized that actually he has addressed in that paper, for the first time, a long standing…