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Research Seminar Variational Calculus - Single View

Basic Information
Type of Course Seminar Long text
Number 102167 Short text
Term WS 2015/16 Hours per week in term 2
Expected no. of participants Study Year
Max. participants
Credits Assignment enrollment
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Language english
Dates/Times/Location Group: [no name] iCalendar export for Outlook
  Day Time Frequency Duration Room Room-
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Lecturer Status Remarks Cancelled on Max. participants
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Tue. 14:00 to 16:00 weekly          
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Responsible Instructors
Responsible Instructors Responsibilities
Esposito, Teresa responsible
Zeppieri, Caterina, Prof. Dr. responsible
Curriculae
Graduation - Curricula Sem ECTS Bereich Teilgebiet
Master - Mathematik (88 105 10) -
Master - Mathematik (88 105 13) -
Assign to Departments
Fachbereich 10 Mathematik und Informatik
Contents
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Das Seminar startet am 11.Mai 2015

Description

The terminology "free-discontinuity problems" refers to a class of variational problems characterized by a competition between volume and surface energies. Among them the Mumford-Shah functional represents an outstanding example, arising in the framework of image segmentation.
Scope of this seminar is to give an overview of the Mumford-Shah problem. After a brief introduction to the spaces of BV and SBV functions, we will focus on the problem of the existence of minimizers for the MS functional. Then, elliptic variational approximations (via Gamma-convergence) of the MS functional will be discussed.

Literature

L. Ambrosio, N. Fusco, D. Pallara: Functions of bounded variation and free discontinuity problems. Oxford University Press, Oxford, 2000.
A. Braides: Gamma-convergence for beginners. Oxford Lecture Series in Mathematics and its Applications, 22. Oxford University Press, Oxford, 2002.

Remarks

The Seminar starts on May, 11th.

Certificates

Die Übunngen müssen bestanden sein, damit eine Teilnahme an der Klausur gewährleistet werden kann.


Structure Tree
Lecture not found in this Term. Lecture is in Term WS 2015/16 , Currentterm: WiSe 2022/23