Seminário de Análise e Equações Diferenciais

Integral representation of energy: General overview and a BD result

Sala 6.2.33, FCUL, Lisboa

Por Marco Caroccia (Scuola Normale Superiore dei Pisa, Italia).

Abstract: In this seminar I will give an overview of all the main techniques available in order to determine wether an energy F:X-->R, under suitable assumption, can be represented in an integral form. Then I will consider a particular case when X is the space of function of bounded deformation, which is remained open until now due to a lack of information on the structure of this space that has been recently filled by Rindler, De Philippis. I will state a recent result in collaboration with Nicolas Van Goethem and Matteo Focardi on the integral representation over BD and, if time permits, I will point out the guidelines of the proof.

13h30
CMAFcIO - Centro de Matemática, Aplicações Fundamentais e Investigação Operacional