Por Juan Luis Vázquez (Universidad Autónoma de Madrid).

Nonlocality plays now an important role in the mathematical modelling of diffusion phenomena. The talk presents work on the existence, regularity and typical behaviour of solutions of nonlinear fractional elliptic and parabolic equations, posed in the whole space or in bounded domains. Attention is given to functional aspects, to the boundary behaviour, and to the long time asymptotics. Work with different collaborators will be mentioned.