M7. Applied Inverse Problems and Partial Differential Equations

A 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.
Daniel Lesnic, Leeeds University, UK, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers:
Arshyn Altybay, Institute of Mathematics and Mathematical Modeling, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
A backward problem for the pseudo-parabolic equation

Shakir Aidos, Al-Farabi Kazakh National University, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse source problem for the parabolic equation

Andrei-Vlad Cataron, University of Bucharest, Romania, This email address is being protected from spambots. You need JavaScript enabled to view it.
A regularising iterative algorithm for the Cauchy problem in elasticity

Khonatbek Khompysh, Al-Farabi Kazakh National University, Kazakhstan, khompysh. This email address is being protected from spambots. You need JavaScript enabled to view it.
An inverse problem for pseudo-parabolic equations

Nataliia Kinash, University of Leeds, UK, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse thermal-wave modelling of heat transfer in biological tissues

Daniel Lesnic, University of Leeds, UK, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse boundary problems of nonlinear corrosion

Frederick Maes, Ghent University, Belgium, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse source problems for the fractional heat equation with phase-lag

Irina V. Melnikova, Ural Federal University, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.
Correctness and regularization of stochastic problems

Murat Mukhambetkaliyev, Al-Farabi Kazakh National University, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
An inverse problem for a pseudoparabolic equation

Mihaela Pricop-Jeckstadt, National University of Science and Technology Politehnica Bucharest, Romania, This email address is being protected from spambots. You need JavaScript enabled to view it.
Extrinsic dynamical data analysis on manifolds

Anar Rahimov, The Institute of Control Systems and Baku State University, Azerbaijan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Numerical solution to an inverse source problem for hyperbolic equation with nonlocal conditions

Cristiana Sebu, University of Malta, Malta, This email address is being protected from spambots. You need JavaScript enabled to view it.
Mollifier methods for Electrical Impedance Tomography

Daurenbek Serikbaev, Institute of Mathematics and Mathematical Modeling, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
An inverse problem for a hyperbolic equation

Pelin Şenel, Karadeniz Technical University, Türkiye, This email address is being protected from spambots. You need JavaScript enabled to view it.
Level-set approach for the interface determination of composite materials

Madi Yergaliyev, Institute of Mathematics and Mathematical Modeling, Kazakhstan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems for nonlinear parabolic equations in degenerate domains

Ye Zhang, Shenzhen MSU-BIT University, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
Asymptotic expansion regularization methods for inverse problems in singularly perturbed PDEs