Fermion hypercontractivity and quantum convolution inequalities
Eric Carlen
Rutgers University
Eric Carlen
Rutgers University
Amit Einav
University of Cambridge
Abstract: Kinetic theory is the field of mathematics that deals with systems of many objects. In recent years, this field has seen an awakening and renewed interest, and has been the focus of attention of many prominent mathematicians. In this talk we will discuss recent advances in the field, mainly in relation to the Boltzmann-Nordheim equation and Kac’s Model, and tie them to the fields of Nonlinear PDEs, Functional Inequalities and Applied Probability.
Apresentação de Raquel Filipe.
Elisa Sovrano
University of Udine
This seminar is supported by National Funding from FCT - Fundação para a Ciência e a Tecnologia, under the project: UID/MAT/04561/2013.
Manuel Zamora
Universidad del Bío-Bío, Chile
Seminário financiado por Fundos Nacionais através da FCT – Fundação para a Ciência e a Tecnologia no âmbito do projeto UID/MAT/04561/2013.
Jorge Fragoso
Abstract: Neste seminário do Mestrado de Matemática serão expostos resultados recentes, de A. Ern, J-L. Guermond e G. Caplain <Comm. P. D.E. 32 (2007). 317-341> sobre uma nova abordagem Hibertiana à teoria de Friedrich para os sistemas simétricos positivos, que visa caracterizar as condições de fronteira admissíveis. Inclui-se a apresentação de aplicações a problemas clássicos nos limites para equações com derivadas parciais.
Samuel Amstutz
Université d'Avignon
Elvira Zappale
Universidade de Salerno
Abstract: By means of duality we prove existence and uniqueness of equilibrium for energies described by integral functionals which fail to be convex. This analysis is motivated by some physical models of elastic materials (cf. for istance [2, 4]) and the techniques generalize the methods first introduced in [5, 1]. A suitable Euler Lagrange equation characterizing the minimizers is derived.
Joint work with G. Carita and G. Pisante
Analytic and geometric properties of functions with dislocations singularity (13h30)
Riccardo Scala (Weierstrass Institute (WIAS), Berlin)