Extended Abstracts MWCAPDE 2023

Preface.- I. Theory of Functional Analysis, Operator Theory, and Applications.- Elena Afanaseva, Anatoly Golberg: Mappings of finite area distortion: Hausdorff measures.- Alexander Cardona, Santiago Gomez Cobos: The principal symbol of elliptic differential operators on Lie groups and homogeneous spaces.- Arran Fernandez, Cihan Gueder, Walaa Yasin: On fractional quaternionic d-bar derivatives.- Brian Grajales, Julieth Saavedra: A note on homogeneous geometry of G2-type real flag manifolds.- Junqing Huang: Semi-sparsity for Piecewise Constant Functions on Triangular Mesh Denoising.- Mikhail Isaev, Roman G. Novikov, Grigory V. Sabinin: Superresolution reconstruction from truncated Fourier transform.- Aitolkyn H. Kalidolday, Erlan D. Nursultanov: Interpolation theorem for discrete net spaces.- Vishvesh Kumar, Joel E. Restrepo: Titchmarsh theorem by modulus of continuity for the deformed Hankel-Lipschitz classes.- Juan Pablo Velasquez-Rodriguez: Titchmarsh Theorems for Hoelder- Lipschitz functions on profinite groups.- Xuechao Wang, Sven Nomm, Junqing Huang, Marianna Chatzakou, Michael Ruzhansky: An efficient neural network for the diagnosis of Parkinson's disease using dynamic handwriting analysis.- II. Classical and non-classical problems of PDEs.- Irfan Ali: On q2-analogue of the one-dimensional non-homogeneous heat equation.- Ravshan Ashurov, Oqila Mukhiddinova: Non-local and inverse problems for the Rayleigh-Stokes equation.- Marianna Chatzakou, Abhilash Tushir: Very weak solution of the discrete Heat Equation with irregular time-dependent thermal conductivity.- Mulugeta A. Dagnaw: On a Mixed Stokes Problem with Variable Viscosity in the 2D Exterior Domain.- Nurbek Kakharman: The mixed initial-boundary value problem for degenerate hyperbolic equation.- Tynysbek Sh. Kalmenov: A criterion for minimality of the mixed type operators.- Baltabek Kanguzhin, Zhalgas Kaiyrbek: An analogue of the d'Alembert formula for the Gurtin-Pipkin equation with

Michael Ruzhansky is a Senior Full Professor of Mathematics at Ghent University in Belgium, and a Professor of Mathematics at Queen Mary University of London in the United Kingdom. His research interests mainly lie in Partial Differential Equations, Microlocal and Harmonic Analysis, and Pseudo-Differential Operators on Lie Groups and Manifolds. Previously, he had appointments at Utrecht University, Johns Hopkins University, University of Edinburgh, and Imperial College London. He is the recipient of various awards and fellowships, notably, the Ferran Sunyer i Balaguer Prize in 2014 and 2018, Daiwa Adrian Prize in 2010, and the ISAAC award in 2007. He is serving as the head of the Ghent Analysis & PDE Center of Ghent University.


Berikbol Torebek is a Postdoctoral Researcher at the Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University in Belgium and Leading Researcher at the Institute of Mathematics and Mathematical Modeling in Kazakhstan. He is a member of the research group "Analysis and PDEs" led by Prof. Michael Ruzhansky. He obtained his PhD in Mathematics in July 2017 from the Al-Farabi Kazakh University. His research interests lie in classical and fractional Partial Differential Equations. In particular, he is interested in the solvability and qualitative properties of solutions to nonlinear problems. He is currently a member of the editorial boards of international journals "Fractional Differential Calculus", "International Journal of Mathematics and Physics" and "Kazakh Mathematical Journal".