Por Rodica Toader (Università degli Studi di Udine).

Abstract: The mathematical formulation of problems in dynamic fracture mechanics leads naturally to the study of the wave equation on domains which vary in time. We provide a notion of solution to the wave equation on a suitable class of time-dependent domains and show existence and uniqueness for the solutions of the Cauchy problem.

The results are obtained in collaboration with G. Dal Maso (SISSA, Trieste).

Por Augusto Gerolin (University of Jyväskylä, Finland).

Abstract: In this talk, we give an overview on theoretical aspects of Optimal Transport for finitely many marginals motivated by a problem in Density Functional Theory. We aim to understand when a Monge-Kantorovich minimizer is of Monge-type in this setting.

Por Vito Crismale (Ecole Polytechnique, Palaiseau).

Por Rafayel Teymurazyan (CMUC, Universidade de Coimbra).

Abstract: We prove homogenization results for obstacle problems in Orlicz-Sobolev spaces driven by p(.)-Laplace operator, as well as establish convergence of the coincidence sets.

Por Alberto Bressan (Penn State University).

Por Paulo Amorim (Instituto de Matemática - Universidade Federal do Rio de Janeiro).

Por Lucio Boccardo (Dipartimento di Matematica, "Sapienza" Università di Roma).

Abstract: We present a review on the Stampacchia-Calderon-Zygmund theory for linear elliptic operators of second order with discontinuous coefficients and the corresponding theory for nonlinear operators of Leray-Lions type with nonregular data.

We shall also discuss classical and recent results, including work in progress, on the continuous dependence of the solutions with respect to right hand sides.

Por Ivan Kuznetsov (Lavrentyev Institute of Hydrodynamics – Siberian Division of the Russian Academy of Sciences, Novosibirsk State University).

Por Cinzia Soresina (CMAF-CIO - Universidade de Lisboa).

Por Davide Zucco (Università di Torino).