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9 papers · 1 filter
Propagation and dispersion of Bloch waves in periodic media with soft inclusions
Yuri A. Godin, Boris Vainberg
We investigate the behavior of waves in a periodic medium containing small soft inclusions or cavities of arbitrary shape, such that the homogeneous Dirichlet conditions are satisf…
The Radius of a Polymer at a Near-Critical Temperature
L. Koralov, S. Molchanov, B. Vainberg
We consider a mean-field model of a polymer with a spherically-symmetric finitely supported potential. We describe how the typical size of the polymer depends on the two parameters…
Reconstruction procedures for two inverse scattering problems without the phase information
Michael V. Klibanov, Vladimir G. Romanov
This is a continuation of two recent publications of the authors about reconstruction procedures for 3-d phaseless inverse scattering problems. The main novelty of this paper is th…
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…
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,…
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…