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regularity theory
Miguel Urbano
Professor,
Applied Mathematics and Computational Sciences
nonlinear PDEs
free boundary problems
regularity theory
Professor Urbano’s research interests are in regularity theory for nonlinear partial differential equations, in particular of singular or degenerate type, arising from different applications, like phase transitions, flows in porous media or semi-supervised learning. He is also interested in free boundary problems, focusing on understanding the local behaviour of weak solutions and the geometric properties of interfaces.
