Calculus of Variations and Geometric Measure Theory

Lipschitz surfaces, perimeter and traces of BV functions in Carnot-Carathéodory spaces

Davide Vittone (Dip. Matematica, Univ. di Padova)

created by magnani on 11 Apr 2011

20 apr 2011

Abstract.

Dipartimento di Matematica - Sala Seminari - ore 17:00

ABSTRACT: We will introduce intrinsic Lipschitz hypersurfaces in Carnot-Carathéodory spaces and prove that intrinsic Lipschitz domains have locally finite perimeter. We will also show the existence of a boundary trace operator for functions of bounded variation on Lipschitz domains and obtain extension results for such functions.