A comprehensive and updated overview of the theory, algorithms and applications of for
electromagnetic inverse scattering problems Offers the recent and most important advances …

The theory of ill-posed problems originated in an unusual way. As a rule, a new concept is a
subject in which its creator takes a keen interest. The concept of ill-posed problems was …

This book summarizes the main analytical and numerical results of Carleman estimates. In
the analytical part, Carleman estimates for three main types of Partial Differential Equations …

Carleman estimates for global uniqueness, stability and numerical methods for coefficient
inverse problems Page 1 J. Inverse Ill-Posed Probl. 21 (2013), 477 – 560 DOI 10.1515/jip-2012-0072 …

An approach to solving coefficient inverse problems for nonlinear reaction-diffusion-
advection equations is proposed. As an example, we consider an inverse problem of …

In this paper, a new asymptotic-numerical approach to solving an inverse boundary value
problem for a nonlinear singularly perturbed parabolic equation with time-periodic …

Asymptotic-numerical approach to solving the coefficient inverse problem for a nonlinear
singularly perturbed two-dimensional reaction–diffusion equation by knowing the location of …

A new framework of the functional analysis is developed for the finite element adaptive
method (adaptivity) for the Tikhonov regularization functional for some ill-posed problems …

The problem to be studied in this work is within the context of coefficient identification
problems for the wave equation. More precisely, we consider the problem of reconstruction …

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