Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Functions of Bounded Variation SS 2020

Lecture: Tuesday 11-13

Tuesday 13-15

Instructors: J. Ginster and B. Zwicknagl
Contact: janusz.ginster at and barbara.zwicknagl at
Moodle: course page on moodle
Password for moodle course: please contact one of us via e-mail



Many applications such as problems in fracture mechanics or image segmentation require a description by functions with discontinuiuties over hypersurfaces. Hence, they cannot be formulated within a Sobolev space. Instead these problems are typically phrased within the class of functions of bounded variation. In this course we will study the properties of functions of bounded variation (compactness, embeddings, structural properties,...) and present applications to variational problems.