The invisible architect 4 min read · Sun, Feb 8 2026 Spotlight News Research in Focus free boundary problems nonlinear PDEs regularity theory Most people never see the mathematics running beneath modern life. CEMSE Professor Miguel Urbano is making sure it works when it matters most.
Recent Free Boundary and Interface Problems (FBIP) Preprints 1 min read · Thu, May 16 2024 News D.J. Araújo and R. Teymurazyan, Interacting free boundaries in obstacle problems, submitted. R. Teymurazyan, The fractional Laplacian: a primer, Coimbra Mathematical Texts, Springer Cham, to appear. C. Alcantara, E.A. Pimentel, and J.M. Urbano, Hessian regularity in Hölder spaces for a semi-linear bi-Laplacian equation, submitted. D.J. Araújo, G.S. Sá, E.V. Teixeira and J.M. Urbano, Oscillatory free boundary problems in stochastic materials, arXiv:2404.03060. E.A. Pimentel and J.M. Urbano (Eds.), Modern methods in the analysis of free boundary problems, Coimbra Mathematical Texts, Springer
