Analisi Matematica
Research topics
Calculus of variations
- Regularity of operators with anisotropic and general growth
- Semicontinuity in the Calculus of Variations
- Fractional Operators
- Density functional theory for Coulomb or interacting systems
- Optimal transport problems and applications
- Variational solutions to evolutionary problems
- Free discontinuity problems Free boundary problems
Convex analysis
- Theory of convex bodies
- Geometric tomography
- Geometric inequalities
Dynamical systems
- Non-autonomous dynamical systems and ergodic theory
- PDE’s and infinite dimensional dynamical systems: long-time behavior, attractors
Inverse problems
Mathematical Control Theory
- Optimal Control, Hamiltonian methods, Geometric control
- Control of Partial Differential Equations (PDE’s) and Infinite Dimensional Systems
- Nonautonomous linear control systems
Partial differential equations
- Applications to mathematical physics
- Geometric and functional inequalities
-
Qualitative properties of solutions
Bianchini, Cianchi, Colesanti, Francini, Magnanini, Salani, Vespri
- Quantitative estimates of unique continuation
- Regularity estimates
Ordinary differential equations
- Qualitative theory for ordinary differential equations and inclusions
- Boundary value problems on compact and noncompact intervals
- Functional differential and differential-difference equations and inclusions
-
Topological methods for ordinary differential equations and inclusions
Anichini, Bisconti, Conti, Matucci, Pera, Spadini, Villari, Zecca,
- Non-autonomous dynamics: non-autonomous dynamical systems and ergodic theory
- Topological dynamics: Lypaunov exponents, exponential dychotomies and rotation numbers
- Non autonomous Hamiltonian systems, quasi-periodic Schroedinger operators
- Bifurcation theory
Stochastic processes and financial mathematics
Faculty staff
- Giuseppe Anichini
- Gabriele Bianchi
- Chiara Bianchini
- Francesca Bucci
- Andrea Cianchi
- Andrea Colesanti
- Luigi De Pascale
- Roberta Fabbri
- Matteo Focardi
- Elisa Francini
- Roberto Gianni
- Paolo Gronchi
- Marco Longinetti
- Rolando Magnanini
- Paolo Marcellini
- Elvira Mascolo
- Serena Matucci
- Francesco Mugelli
- Maria Gabriella Paoli
- Maria Patrizia Pera
- Laura Poggiolini
- Paolo Salani
- Andrey Sarychev
- Marco Spadini
- Vincenzo Vespri
- Sergio Vessella
- Gabriele Villari
- Pietro Zecca
Postdocs
- Francesco Geraci
- Luca Bisconti
PhD students
Other frequent collaborators
- P. Acquistapace
- A. Agrachev
- P. Benevieri
- E. Beretta
- V. Bögelein
- K. Boroczky
- G. Bouchitté
- G. Buttazzo
- A. Calamai
- G. Carlier
- T. Champion
- R. Chiappinelli
- F. C. Chittaro
- A. Constantin
- S. Conti
- G. Cupini
- B. Dacorogna
- C. De Lellis
- G. De Philippis
- E. DiBenedetto
- M. Di Cristo
- S. DiPierro
- F. Dragoni
- Z. Došlá
- F. Duzaar
- G. Duzgun
- M. Eleuteri
- M. Furi
- N. Fusco
- R. Gardner
- M.S. Gelli
- U. Gianazza
- G. Grillo
- M. Guerra
- K. Ishige
- F. Iurlano
- A. Henrot
- D. Henry
- M. Ishiwata
- M. Ludwig
- F. Leonetti
- M. Marini
- J. Mawhin
- A. Morassi
- S. Novo
- C. Nunez
- R. Obaya
- V. Obukhovskii
- D. Papini
- P. Réhâk
- E. Rosset
- S. Sakaguchi
- F. Santambrogio
- A. Slavova
- E. Spadaro
- G. Stefani
- A. Takatsu
- E. Valdinoci
- H. Wadade
- F. Zanolin
- P. Zezza
Visitors
- George Avalos
- Pierluigi Benevieri
- Francesca Carlotta Chittaro
- Adrian Constantin
- Zuzana Došlá
- Manuel Guerra
- David Henry
- Sergey Kornev
- Jean Mawhin
- Sylvia Novo
- Carmen Nunez
- Rafael Obaya
- Michiaki Onodera
- Pavel Réhâk
- Angela Slavova
- Valeri Obukhovskii
Grants and projects
Seminars
PhD Courses
ultimo aggiornamento: 24-Mag-2018