Partial Differential Equations - Harmonic Analysis - Calculus of Variations

Short description of the research team

Thematic fields of interest/research areas: The team has three main interests:

- Partial Differential Equations: linear and non-linear hyperbolic PDE, evolution equations, systems of PDE, hyperbolic dissipative and elliptic PDE, regularity of solutions of degenerate/singular elliptic PDE and dispersive equations, stochastic PDE. Applications to collective movements and gas dynamics.

- Harmonic Analysis: time-frequency analysis, regularity theory for (pseudo)-differential operators, Fourier restriction theory.

- Calculus of Variations: variational problems (supremal and area-like functionals), geometric measure theory in Euclidean and non-Euclidean setting (metric measure spaces, abstract Wiener spaces), functional inequalities in sharp form.

Manager/head of the team: Andrea Corli and Michele Miranda

Team members: Alessia Ascanelli, Chiara Boiti, Lorenzo Brasco, Andrea Corli, Damiano Foschi, Michele Miranda, Francesca Prinari, Massimiliano Rosini

Research infrastructures : very good mathematical library, computation facilities.

Prerequisites of the trainee researcher:

Level of education: “Marie Curie Individual Fellowship” Action requirements.

Research experience: N/A

Required working language: English, French, Italian

Contacts: Proff. Andrea Corli , Michele Miranda and Damiano Foschi