3 papers
math.FA2026
Continuous transformations of probability measures and their transport representations
Hugo Lavenant, Giuseppe Savaré
Given a function transforming a probability measure into another one , we study the existence and regularity of a transport representation of it. That is, we ask wh…
math.AP2026
Singularly Perturbed Gradient Flows and Evolution of Critical Points in Infinite Dimensions
Virginia Agostiniani, Riccarda Rossi, Giuseppe Savaré
We consider singularly perturbed gradient flows in Hilbert spaces, driven by a time-dependent, nonconvex, and nonsmooth energy, and address the convergence of their solutions to cu…
math.AP2026
A direct method for doubly nonlinear equations via convexification in spaces of measures and duality
Alessandro Pinzi, Filippo Riva, Giuseppe Savaré
Existence of solutions to doubly nonlinear equations in reflexive Banach spaces is established by resorting to a global-in-time variational approach inspired by De Giorgi's princip…