Mathematics of thermoacoustic tomography Page 1 Euro. Jnl of Applied Mathematics (2008), vol.
19, pp. 191–224. c 2008 Cambridge University Press doi:10.1017/S0956792508007353 Printed …

The problem of determining a function from a subset of its spherical means has a rich history
in pure and applied mathematics. This chapter reviews connections between spherical …

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 …

This is the manuscript of the chapter for a planned Handbook of Mathematical Methods in
Imaging that surveys the mathematical models, problems, and algorithms of the …

This work is a survey of results for ill-posed Cauchy problems for PDEs of the author with co-
authors starting from 1991. A universal method of the regularization of these problems is …

In this article, we revisit iterative methods for solving the inverse source problem of
photoacoustic tomography in free space. Recently, there have been interesting …

Recent years have brought about exciting new developments in computerized tomography.
In particular, a novel, very promising approach to the creation of diagnostic techniques …

We study an inverse scattering problem associated with a Schrödinger system where both
the potential and source terms are random and unknown. The well-posedness of the forward …

We propose a numerical method to solve an inverse source problem of computing the initial
condition of hyperbolic equations from the measurements of Cauchy data. This problem …