Cheeger sets in strips and nonconvex domains
- Date
- Jan 15, 2015
- Time
- 2:00 PM - 3:00 PM
- Speaker
- Gian Paolo Leonardi
- Affiliation
- U Modena, Italien
- Series
- TUD Mathematik AG Analysis & Stochastik
- Language
- en
- Main Topic
- Mathematik
- Other Topics
- Mathematik
- Host
- Dr. Zoja Milbers
- Description
- The Cheeger problem consists in minimizing the ratio "perimeter over volume" among subsets of a given, bounded domain. This problem has connections with several variational problems (eigenvalue estimates, prescribed mean curvature, TV minimization, and others). We shall first introduce the problem, then focus on properties of Cheeger sets (i.e., solutions of the variational problem stated above) with special emphasis on the two dimensional case. In particular, we shall present the results obtained in collaboration with A. Pratelli on the characterization of Cheeger sets in 2-dimensional strips and in more general, nonconvex domains. Extensions of some results to higher dimensions (work in progress with D.Krejcirik) will be also presented.
- Links
Last modified: Dec 10, 2014, 4:21:06 PM
Location
TUD Willers-Bau (WIL A 124)Zellescher Weg12-1401069Dresden
- Homepage
- https://navigator.tu-dresden.de/etplan/wil/00
Organizer
TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
- Phone
- 49-351-463 33376
- Homepage
- http://tu-dresden.de/mathematik
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