Analysis and Differential Equations
Research interests
- Control theory, Hamilton-Jacobi-Bellman equations, Mean field games, Nonsmooth analysis, quantum control, sub-Riemannian geometry
- Elliptic equations: nonlinear analysis and critical point theory, qualitative properties and symmetry of solutions, Liouville-type equations, Chern-Simons gauge theory.
- Calculus of variations and geometric measure theory: Gamma-convergence, Homogenization, Fracture mechanics, Image processing, Analysis on fractals.
- Geometric evolution equations: Mean curvature flow, Ricci flow.
- Parabolic equations: convection-diffusion models, thin film equation, forward-backward equations, gradient flows.
- Dynamical systems, Hamiltonian and Lagrangian systems: KAM Theory, weak KAM Theory, Aubry-Mather theory, Symplectic geometry.
- Approximation in Multiple Dimensions
People
- Daniele Bartolucci
- Andrea Braides
- Emanuele Callegari
- Piermarco Cannarsa
- Marco Caponigro
- Alessandra Cutrì
- Teresa D'Aprile
- Lucio Damascelli
- Luca Franzoi
- Roberta Ghezzi
- Jessica Massetti
- Riccardo Molle
- Roberto Peirone
- Paolo Perfetti
- Alessio Porretta
- Paolo Roselli
- Carlo Sinestrari
- Alfonso Sorrentino
- Gabriella Tarantello
Weekly Seminar