Tentative Program
- Monday, March 9, 2015
- 09:00
- Welcome
- 09:10 - 11:10
- Juan Luis Vázquez (Universidad Autónoma de Madrid, Spain)
- NONLINEAR DIFFUSION WITH FRACTIONAL LAPLACIAN OPERATORS download abstract
- 11:10 - 11:25
- Coffee Break
- 11:30 - 12:30
- Giovanna Citti (Alma Mater Studiorum Università di Bologna, Italy)
- SCHAUDER ESTIMATES AT THE BOUNDARY IN THE HEISENBERG GROUP download abstract
- 12:30
- Pause
- 14:30 - 16:30
- Enrico Valdinoci (Weierstrass Institute - Berlin, Germany and Università degli Studi di Milano, Italy)
- NONLOCAL PROBLEMS - THEORY AND APPLICATIONS download abstract
- 16:30 - 16:45
- Coffee Break
- 16:50 - 17:35
- Giampiero Palatucci (Università di Parma, Italy)
- DISLOCATION DYNAMICS IN CRYSTALS download abstract
- Tuesday, March 10, 2015
- 09:00 - 11:00
- Bernd Kawohl (Universität zu Köln, Germany)
- THE GEOMETRY OF THE P-LAPLACIAN download abstract
- 11:00 - 11:15
- Coffee Break
- 11:15 - 12:15
- Ugo Gianazza (Università di Pavia, Italy)
- BOUNDARY REGULARITY FOR DEGENERATE AND SINGULAR PARABOLIC EQUATIONS download abstract
- 12:15
- Pause
- 14:00 - 16:00
- Giovanna Citti (Alma Mater Studiorum Università di Bologna, Italy)
- SCHAUDER ESTIMATES AT THE BOUNDARY IN THE HEISENBERG GROUP download abstract
- 16:00 - 16:15
- Coffee Break
- 16:15 - 17:00
- Mikko Parviainen (University of Jyväskylä, Finland)
- REGULARITY FOR NONLINEAR STOCHASTIC GAMES download abstract
- 17:00 - 17:30
- Eleonora Cinti (Weierstrass Institute, Berlin, Germany)
- FLATNESS OF NONLOCAL PHASE TRANSITION IN LOW DIMENSIONS download abstract
- Wednesday, March 11, 2015
- 09:00 - 11:00
- Ugo Gianazza (Università di Pavia, Italy)
- BOUNDARY REGULARITY FOR DEGENERATE AND SINGULAR PARABOLIC EQUATIONS download abstract
- 11:00 - 11:15
- Coffee Break
- 11:15 - 12:15
- Juan Luis Vázquez (Universidad Autónoma de Madrid, Spain)
- NONLINEAR DIFFUSION WITH FRACTIONAL LAPLACIAN OPERATORS download abstract
- 12:15
- Pause
- 14:15 - 15:15
- Enrico Valdinoci (Weierstrass Institute - Berlin, Germany and Università degli Studi di Milano, Italy)
- NONLOCAL PROBLEMS - THEORY AND APPLICATIONS download abstract
- 15:15 - 16:15
- Bernd Kawohl (Universität zu Köln, Germany)
- AN ISOPERIMETRIC INEQUALITY FOR ELASTIC CURVES download abstract
- 16:15 - 16:30
- Coffee Break
- 16:30 - 17:00
- Serena Dipierro (University of Edinburgh, UK)
- ALL FUNCTIONS ARE LOCALLY S-HARMONIC (UP TO A SMALL ERROR) view abstract
Serena Dipierro
ALL FUNCTIONS ARE LOCALLY S-HARMONIC (UP TO A SMALL ERROR)
We show that we can approximate every C^k function with a
s-harmonic function in a ball that vanishes outside a compact set.
That is, s-harmonic functions are locally dense in C^k.
This result is clearly in contrast with the rigidity of harmonic functions
in the classical case and can be viewed as a purely nonlocal feature.
This is a joint work with O. Savin and E. Valdinoci.
- 17:00 - 17:30
- Vittorio Martino (Alma Mater Studiorum Università di Bologna, Italy)
- EXISTENCE AND MULTIPLICITY RESULTS FOR SOME DEGENERATE EQUATIONS WITH CRITICAL NONLINEARITY download abstract