Current research

My current research is focused on Free Boundary Problems, of local and nonlocal nature. And also on the intersection between Partial Differential Equations, Harmonic Analysis and Geometric Measure Theory.  

Generally speaking, I try to establish relationships between good properties of (elliptic and parabolic) PDE and good geometrical properties of the domains they are solved in. 

This requires working in very general/rough domains, well beyond the well-known classical theory, hence the need of Harmonic Analysis and Geometric Measure Theory to provide us with tools to work in such unfriendly domains.

Contact

Email: pablo[dot]hidalgo[at]ub[dot]edu (also pablohid[at]ucm[dot]es)

Office E1 02 at the Department of Mathematics, Universitat de Barcelona.