Speaker: Jean-Francois Babadjian (Université Paris Saclay).

Speaker: Hynek Kovařík (Università degli studi di Brescia).

Absence of positive eigenvalues of magnetic Schroedinger operators We study sufficient conditions for the absence of positive eigenvalues of magnetic Schroedinger operators in R^n. In our main result we prove the absence of eigenvalues above certain threshold energy which depends explicitly on the magnetic and electric field. A comparison with the examples of Miller-Simon shows that our result is sharp as far as the decay of the magnetic field is concerned.

Speaker: Rainer Mandel (Karlsruhe Institute of Technology).

Speakers: Wladimir Neves (Universidade Federal do Rio de Janeiro).

In this talk, we study the homogenization of the Schrödinger equation beyond the periodic setting. More precisely, rigorous derivation of the effective mass theorems in solid state physics for non-crystalline materials are obtained.

This is a joint work with Vernny Ccajma and Jean Silva.

Zoom | Online access password: lisbonwade

Speakers: Lorenzo Mazzieri and Piotr Chruściel (Università di Trento / University of Vienna).

We will review the status of the uniqueness theory of static vacuum black holes, with or without a cosmological constant Λ and we will outline the proof of a uniqueness theorem with Λ>0, proved jointly in collaboration with Stefano Borghini.

Speaker: Jean-Baptiste Casteras (CMAFcIO, Universidade de Lisboa).

In this talk, we will be interested in standing wave solutions to a fourth order nonlinear Schrödinger equation having second and fourth order dispersion terms. This kind of equation naturally appears in nonlinear optics. In a first time, we will establish the existence of ground-state and renormalized solutions. We will then be interested in their qualitative properties, in particular their stability.

Speaker: Marco Morandotti (Politecnico di Torino).

We study an interaction model of a large population of players based on an evolutionary game, which describes the dynamical process of how the distribution of strategies changes in time according to their individual success.

Speaker: Pavel Exner (Doppler Institute for Mathematical Physics and Applied Mathematics, Prague).

Speaker: Elvira Zappale (Università Degli Studi di Salerno).

I will present several integral representation results for certain functionals arising in the context of optimal design and damage models, in presence of a perimeter penalization term. I will consider several frameworks, and I will also discuss the case with non-standard growth conditions.

To get access to the password, please register on the website or contact one of the organizers.

Speaker: Barbara Brandolini (Università Degli Studi di Napoli Federico II).

To get access to the password, please register on the website or contact one of the organizers.

The Lisbon Webinar in Analysis in Differential Equations is a joint iniciative of CAMGSD, CMAFcIO and GFM, three research centers of the University of Lisbon. It is aimed at filling the absence of face-to-face seminars and wishes to be a meeting point of mathematicians working in the field.