M12. Applied Inverse Problems and Partial Differential Equations

The vast majority of mathematical models related to inverse problems are governed by partial differential equations. Therefore, the methods of the theory of partial differential equations have a decisive role in the study of inverse problems. This mini-symposium aims to present a discussion of the main ideas and methods for examining inverse problems for PDEs that arise in various mathematical models. Most of these models are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations occur naturally in nearly all branches of science and engineering.

We hope to bring together well-known experts and young researchers working on inverse problems governed by partial differential equations and their applications.

Organizers:
Karel Van Bockstal, Ghent University, Belgium, This email address is being protected from spambots. You need JavaScript enabled to view it.                                                                 
Michael Ruzhansky, Ghent University, Belgium, This email address is being protected from spambots. You need JavaScript enabled to view it.                                                             
Berikbol T. Torebek, Ghent University, Belgium; Institute of Mathematics and Mathematical Modeling Almaty, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers:
Ravshan Ashurov, Institute of Mathematics, Uzbekistan Academy of Sciences, Uzbekistan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problem for the subdiffusion equation with fractional Caputo derivative

Karel Van Bockstal, Ghent University, Belgium, This email address is being protected from spambots. You need JavaScript enabled to view it.
The reconstruction of a time-dependent source in the time-fractional subdiffusion equation with time-dependent piecewise constant order

Dmitrii Chaikovskii, Shenzhen MSU-BIT University, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
Real-time solutions of source inverse problems using the asymptotic expansions approach for nonlinear 3D PDEs

Anwesa Dey, University of Utah, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
A convolutional neural network-based reconstruction framework in magnetic resonance

Arran Fernandez, Eastern Mediterranean University, Northern Cyprus, Turkey, This email address is being protected from spambots. You need JavaScript enabled to view it.
Mikusinski's Operational Calculus: Algebraic inversion to solve fractional partial differential equations

Khonatbek Khompysh, Al-Farabi Kazakh National University, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems for pseudoparabolic equations with fractional time derivative

Pardeep Kumar, Indian Institute of Technology Roorkee, India, This email address is being protected from spambots. You need JavaScript enabled to view it.
An inverse source problem for convective Brinkman-Forchheimer equations with the final overdetermination

Pranav Kumar, Indian Institutes of Science Education and Research (IISERs), India, This email address is being protected from spambots. You need JavaScript enabled to view it.
Local data inverse problem for the polyharmonic operator with anisotropic perturbations

Daniel Lesnic, University of Leeds, UK, This email address is being protected from spambots. You need JavaScript enabled to view it.
Determination of the time-dependent blood perfusion coefficient in the thermal-wave model of bio-heat transfer

Haie Long, Shenzhen MSU-BIT University, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
An accelerated inexact Newton regularization scheme with a learned feature-selection rule for non-linear inverse problems

Mostafa Meliani, Radboud University, Netherlands, This email address is being protected from spambots. You need JavaScript enabled to view it.
Analysis of wave equations describing ultrasound propagation in complex media

Irina Melnikova, Ural Federal University, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.
Regularization of Ill-posed stochastic problems

Björn Müller, Max-Planck-Institute for Solar System Research, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Unique identifiability of a passive inverse parameter problem: The example of helioseismology

Mihaela Pricop-Jeckstadt, POLITEHNICA University of Bucharest, This email address is being protected from spambots. You need JavaScript enabled to view it.
Linear Statistical Inverse Problems for Hilbert Space Processes in Hilbert Scales

Jorge Vicente Puig, Universitat Autònoma de Barcelona, Spain, This email address is being protected from spambots. You need JavaScript enabled to view it.
Linear data completion problem in inverse electrocardiography

Bolatbek Rysbaiuly, International Information Technology University, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Nonlinear inverse problem of moisture transfer in the soil

Murat Sultanov, International Kazakh-Turkish University named after Khoja Ahmed Yasavi, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Numerical methods for solving the initial boundary problems for subdiffusion equations with nonlocal boundary conditions

Marat Tleubergenov, Institute of Mathematics and Mathematical Modelling, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems of dynamics in the presence of random perturbations

James Webber, Brigham and Women’s Hospital, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Surface of revolution Radon transforms with centers on generalized surfaces in R^n

Aizhan Ydyrys, International Information Technology University, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
The inverse problem of thermal conductivity in a curved region

Ye Zhang, Shenzhen MSU-BIT University, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse Cauchy problems: revisit and a new approach