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Department of Mathematics

Photo: UHH/MIN/Christina Brandt

Seminar on BV Functions and the Calculus of Variations

Summer Term 2020

Postponement of the seminar: Due to the current situation the start of the seminar is postponed for an undetermined period of time. Further information will follow as soon as possible.

ECTS points: 6 ECTS (on presentation and written elaboration)

Participant group: The seminar is part of the Master Program in Mathematics, Industrial Mathematics, Business Mathematics, or Mathematical Physics.

Prerequisites: We expect a solid a-priori knowledge in Analysis (which includes experience with general measure theory, functional analysis, and Sobolev spaces, for instance).

Contents

The selection of topics will also depend on the field of participants. A non-exhaustive list of ideas for possible directions is:

  • fine properties of BV functions, Gauss-Green formulas for BV functions,
  • sharp isoperimetric inequalities,
  • the first variation of area and minimal surfaces,
  • (mean) curvature problems for hypersurfaces,
  • relaxation of non-(quasi)convex variational problems,
  • weak convergence methods in the calculus of variations.

Dates

  • Thu 10 am–12 pm
  • room 415

Literature

Will be announced later.

Contact

Instructors