Lukás Malýمشاهده پروفایل
دانشیار
- differential equations
- measure theory
- integration
- +۱۵ مورد دیگر
Lukás Malý is an Associate Professor at Linköping University working within the Department of Science and Technology (ITN) in Norrköping since 2019. His research focuses on differential equations and their generalizations, with specific expertise in measure theory, integration, function spaces, first-order analysis on metric spaces, and non-linear potential theory. His research spans several key areas: nonlinear potential theory associated with p-harmonic functions and quasiminimizers in metric spaces; inverse problems with applications in machine learning (particularly neural ordinary differential equations) and medicine (brain tumor modeling); and computational science including harmonic analysis and integrable systems. He is particularly known for his work on Newtonian spaces, Sobolev capacities, and boundary value problems in metric measure spaces. Malý's recent publications (2023-2024) show a growing emphasis on applications of differential equations to machine learning and medical imaging, particularly through neural ordinary differential equations and reaction-diffusion tumor models, while maintaining strong theoretical foundations in metric space analysis and Sobolev space theory. His educational innovation work focuses on digitalization within STEM instruction, developing interactive visualizations and sonifications of mathematical concepts using GeoGebra and JSXGraph, and creating digital learning platforms with immediate feedback systems for students. Co-supervised Rym Jaroudi's PhD thesis: 'Inverse Problems for Tumour Growth Models and Neural ODEs' (2023) Supervised Kristos Qiqi's Master's thesis: 'Image-driven simulation of brain tumors using a reaction-diffusion mathematical model' (2023) Developed fully digital summer course 'Preparatory Mathematics' bridging high school and university mathematics Malý is part of the Physics, Electronics and Mathematics (FEM) research group at ITN, contributing to mathematics research that intersects with communication electronics, engineering didactics, and physical electronics. His work connects theoretical mathematics with practical applications in machine learning and medical science.









