Por Andreas Minne (KTH Royal Institute of Technology).

Harmonic functions and the Laplacian are - without exaggeration - among the most studied objects in Mathematics. Notwithstanding the foregoing, we will in this seminar define and discuss the properties of a new type of Laplace operator that makes sense in the general setting of metric measure spaces, and which circumvents the need for partial derivatives.

The Lisbon Webinar in Analysis in Differential Equations is a joint iniciative of CAMGSD, CMAFcIO and GFM, three research centers of the University of Lisbon. It is aimed at filling the absence of face-to-face seminars and wishes to be a meeting point of mathematicians working in the field.