Calculus of Variations and Geometric Measure Theory

Variational integrals with linear growth

Thomas Schmidt (University of Hamburg)

created by magnani on 10 Jan 2012

18 jan 2012 -- 17:00   [open in google calendar]

Sala Seminari, Department of Mathematics, Pisa University

Abstract.

The talk is concerned with convex variational integrals of linear growth, which are naturally defined on vector-valued BV-functions. Discussing also existence and uniqueness results for the Dirichlet problem, I will focus on gradient regularity of (generalized) minimizers in degenerate situations. Some of the results are contained in a joint work with Lisa Beck.