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Program
10:00: Velkommen
Helge Holden, moderator / Abelkomiteens leder
Per Morten Sandset, viserektor UiO,
Lise Øvreås, president i Det Norske Videnskaps-Akademi
10:15: Abelprisvinner Luis A. Caffarelli: "Non-linear and non-local surface structure problems and some of its applications"
11:10: Professor Sylvia Serfaty: "From diffusions to fluid equations: the question of regularity"
12:05: Lunsj
13:00: Professor Alessio Figalli: "From elastic membranes to ice melting"
14:00: Professor Luis Silvestre: "Fully nonlinear elliptic equations and applications"
14:55: Avslutning av styreleder for Abelprisen, matematiker Ingrid Glad
Luis A. Caffarelli - Non-linear and non-local surface structure problems and some of its applications - sammendrag:
We introduce non-local fractional diffusion and evolution processes modeling diverse structures in the formation of free boundary problems and diffusion phenomena arising, for instance, from the evolution of energy-partition methods, involving a regularizing mechanism such as local and fractional free energies and convex-like potentials.
The applications are abundant in natural sciences and engineering structures, stochastic processes in financial modeling and beyond.