4 papers
A PDE perspective on the flat chain conjecture
Andrea Marchese
This survey summarizes recent progress on the flat chain conjecture, which asserts the equivalence between metric currents and flat chains with finite mass in the Euclidean space.…
Cryogenic pressure sensing with an ultrafast Meissner-levitated microrotor
Joel K Jose, Andrea Marchese, Marion Cromb +5
Magnetically levitated spinning rotors are key elements in important technologies such as navigation by gyroscopes, energy storage by flywheels, ultra-high vacuum generation by tur…
On the closability of differential operators
Giovanni Alberti, David Bate, Andrea Marchese
We discuss the closability of directional derivative operators with respect to a general Radon measure on ; our main theorem completely characterizes the vectorf…
A refined Lusin type theorem for gradients
Luigi De Masi, Andrea Marchese
We prove a refined version of the celebrated Lusin type theorem for gradients by Alberti, stating that any Borel vector field coincides with the gradient of a function $g…