معرفی
Dr. Simon Noah Nowak is a researcher at the Faculty of Mathematics, Bielefeld University, focusing on nonlocal partial differential equations (PDEs) and regularity theory. He is currently involved in the SFB 1283 collaborative research center, contributing to projects on differential/integro-differential operators with degenerate coefficients (TP A07) and analysis of manifolds/metric spaces/graphs (TP A03). His work bridges functional analysis, potential theory, and nonlinear PDEs.
Research trends in his publications emphasize nonlocal equations with irregular coefficients, including fractional calculus, Sobolev/Hölder regularity, and Calderón-Zygmund estimates. Key subfields span gradient estimates, parabolic equations, nonlinear potentials, and De Giorgi iteration for vectorial systems.
He has collaborated with prominent researchers such as Lars Diening, Lars Kaßmann, Yannick Sire, and Giuseppe Mingione. His recent work includes 2025 contributions to Annals of PDE, Calculus of Variations, and Journal of the London Mathematical Society, alongside 2024 studies in Mathematical Annals and Archive for Rational Mechanics and Analysis.
