Mathematics | University of Parma

Professor
Academic discipline: Indefinito/interdisciplinare (NN)
Field: Tirocini formativi e di orientamento
Type of training activity: More

24 hours
of face-to-face activities

3 credits

hub: PARMA

course unit
in - - -

lectures timetable unavailable

exam calls

Learning objectives

The aim of the course/lecture is to intro students to the Mathematical research in the field of non linear equations.

Prerequisites

- - -

Course unit content

Young measures for oscillation and concentration.

Full programme

Methods based on weak convergence are common in the analysis of nonlinear problems. On e way to describe and quantify the weak convergence of a sequence in a Lebesgue space Lp is via the Young measure it generates. This approcah was introduced by L.C. Young and is particularly useful for problems where only one point statistics is required. In this course we review aspects of weak convergence, develop a theory of Young measures that can account for both oscillation and concentration, and we illustrate it on examples from the calculus of variations.

Bibliography

Handouts.

Teaching methods

Seminars.

Assessment methods and criteria

Lectures by the students.

Other information