M9. Recent Advances in Analytical and Numerical Methods in Inverse Problems for Partial Differential Equations

Minisymposium dedicated to the 70th anniversary of a distinguished expert in the field of inverse problems Professor Michael V. Klibanov

Many inverse problems of practical interest involve estimating unknown parameters from measurements of a state described by a partial differential equation (PDE) depending on these parameters; we mention just seismic inversion and acoustic medical imaging (which require determining the speed of sound in a wave equation) and nondestructive testing for corrosion (where an unknown coefficient in a Robin boundary condition has to be reconstructed). Such problems are challenging as they are usually nonlinear and require efficient large-scale methods for their numerical solution. In addition, analytical results are often crucial in developing appropriate numerical algorithms, since the function space structure of PDEs is an essential part of the problem. In this minisymposium talks by experts will be presented on recent developments in this area, including in particular those concerning global uniqueness and global convergence methods pioneered by Professor Klibanov.

Organizers:
Christian Clason, Universität Duisburg-Essen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Thanh Trung Nguyen, Rowan State University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Paul Sacks, Iowa State University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers (in alphabetical order):
Ugur G. Abdulla, Okinawa Institute of Science and Technology, Japan; This email address is being protected from spambots. You need JavaScript enabled to view it.
On the Kolmogorov Problem

Maya de Buhan, CNRS-Université Paris Saclay, France, This email address is being protected from spambots. You need JavaScript enabled to view it.
Carleman-based reconstruction algorithm

Christian Clason, University of Graz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Multibang Regularization of a Coefficient Inverse Problem for the Wave Equation

Anatoly Yagola, Moscow State University, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it. 
Solution of a three-dimensional inverse elastography problem for parametric classes of inclusions