This session will take a view on recent developments in PDEs concerning integro-differential and nonlocal equations, as well as shape optimization, free boundaries, and phase transitions. The results will probably include nonlocal minimal surfaces, kinetic equations, and applications to mathematical biology.
Speakers
Benoit Perthame
Université Paris 6
Models for tumor growth and the Hele-Shaw asymptotic
Thursday, 27 April, 10:30-11:15. Room Pi i Sunyer
Joaquim Serra
Swiss Federal Institute of Technology in Zürich
Nonlocal obstacle problems: regularity of the solutions and the free boundaries
Thursday, 27 April, 11:20-12:05. Room Pi i Sunyer
Cyril Imbert
Centre National de la Recherche Scientifique and École Normale Supérieure, Paris
Weak Harnack inequality for the Boltzmann equation without cut-off
Thursday, 27 April, 12:10-12:55. Room Pi i Sunyer
Alberto Farina
Université Picardie, Amiens
A Bernstein-Type Result for the Minimal Surface Equation
Friday, 28 April, 10:30-11:15. Room Pi i Sunyer
Guido De Philippis
Scuola Internazionale Superiore di Studi Avanzati, Triestre
On the structure of A-free measures and applications
Friday, 28 April, 11:20-12:05. Room Pi i Sunyer
Enrico Valdinoci
Weierstrass Institute for Applied Analysis and Stochastic
Long-range phase transitions and minimal surfaces
Friday, 28 April, 12:10-12:55. Room Pi i Sunyer
Organisers
Xavier Cabré
ICREA and Universitat Politècnica de Catalunya, Barcelona
Enrico Valdinoci
Weierstrass Institute for Applied Analysis and Stochastics
