M10. Inverse and Control Problems for Evolution Equations and Variational Inequalities

In the last twenty years, the field of inverse problems has undergone rapid development. The enormous increase in computing power, together with powerful numerical methods, has made it possible to simulate real-world direct problems of growing complexity. Many applications in science and engineering lead to inverse and control problems, which in turn stimulate mathematical research e.g., on uniqueness questions and on developing stable and efficient numerical methods for solving them.

Evolution partial differential equations are frequently used to model transient processes. Variational inequalities are mathematical models used to describe a wide range of dynamic phenomena such as the evolution of physical systems, economic processes, and social dynamics. Solving inverse problems involves formulating an appropriate mathematical model that incorporates available data and unknown parameters. Various computational and mathematical techniques, such as optimization methods, regularization techniques, and numerical algorithms, have been employed to reconstruct unknown quantities and obtain a reliable solution.

The aim of this mini-symposium is the exchange of state-of-the-art knowledge in theoretical and numerical research on inverse, backward, and coefficient identification settings for (non)linear evolution problems. We would like to bring together a wide range of experts in this mini-symposium to discuss the theoretical, practical, and numerical aspects of the subject.


Organizer:
Marian Slodička, Ghent University, Belgium, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers: 
Andrea Aspri, University of Milan, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.

Identification of cavities in a nonlinear model arising from electrophysiology

Larisa Beilina/Eric Lindström, Chalmers University of Technology and University of Gothenburg, Sweden, This email address is being protected from spambots. You need JavaScript enabled to view it.
Adaptive finite element method for electromagnetic coefficient inverse problem in conductive media

Michel Cristofol, Aix Marseille Université, France, This email address is being protected from spambots. You need JavaScript enabled to view it.
Stability estimates for some coefficients in a quantitative thermo-acoustic-tomography model

Jaan Janno, Tallinn University of Technology, Estonia, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems for simultaneous determination of source terms and several scalar parameters of fractional diffusion-wave equations

Tong Kang, Communication University of China, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
A new A-phi variational approach for inverse source harmonic eddy current problems

Wenbin Li, Harbin Institute of Technology, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
Data-driven studies for inverse problems in imaging

Eric Lindström, Chalmers University of Technology, Sweden, This email address is being protected from spambots. You need JavaScript enabled to view it.
Adaptive finite element method for electromagnetic coefficient inverse problem in conductive media

Frederick Maes, Ghent University, Belgium, This email address is being protected from spambots. You need JavaScript enabled to view it.
Determining a space-dependent source in thermoelastic systems

Boris Martin, University of Liège, Belgium, This email address is being protected from spambots. You need JavaScript enabled to view it.
Efficient substructured domain-decomposition in inverse problems using Krylov subspace recycling

Karol Mikula, Slovak University of Technology in Bratislava, Slovakia, This email address is being protected from spambots. You need JavaScript enabled to view it.
Forward-backward diffusion equations for image classification

Sampsa Pursiainen, Tampere University, Finland, This email address is being protected from spambots. You need JavaScript enabled to view it.
The role of standardization in brain source localization: from steady-state approximation (sLORETA) to complete time-evolution

Souvik Roy, University of Texas, Arlington, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems related to a Fokker-Planck control framework in esophageal cancer

Sebastian Scott, University of Bath, UK, This email address is being protected from spambots. You need JavaScript enabled to view it.
On optimal regularisation parameters via Bilevel Learning

Daurenbek Serikbaev, 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.
Inverse source problem for the time-fractional heat equation for positive operators

Marian Slodicka, Ghent University, Belgium, This email address is being protected from spambots. You need JavaScript enabled to view it.
Evolutionary PDEs with Volterra operators: direct and inverse source problems

Alexandra Smirnova, Georgia State University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Parameter Estimation and Optimal Control in Epidemiology

Filip Sroubek, Institute of Information Theory and Automation, Czechia, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems in image processing

Niyaz Tokmagambetov, Institute of Mathematics and Mathematical Modeling, Kazakhstan This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems of determining the time-dependent leading coefficient in the non-local in-time evolutionary equations

Manmohan Vashisth, Indian Institute of Technology at Jammu, India. This email address is being protected from spambots. You need JavaScript enabled to view it.
Partial data inverse problems for the convection-diffusion equation