Faber-Krahn Inequalities for some Linear Problems and its Consequences (2/3)
- Date
- Dec 6, 2013
- Time
- 1:00 PM - 2:30 PM
- Speaker
- Prof. Dr. Marcello Lucia
- Affiliation
- City University New York
- Language
- en
- Main Topic
- Mathematik
- Other Topics
- Mathematik
- Host
- Prof. Dr. R. Schilling / Dipl.-Math J. Hollender
- Description
- Ein Vortrag im Rahmen der "Graduate Lectures in Mathematics" The classical isoperimetric inequality in the Euclidean space states that among all open sets of given volume, the ball minimizes the perimeter. This nice geometrical inequality allows to derive a lower bound on the first eigenvalue of the (negative) Laplacian with zero boundary condition, the so-called 'Faber-Krahn' inequality. Though such a lower bound fails for Neumann boundary condition, we will see that it holds for the first eigenvalue of the Laplacian acting on some other spaces of functions. Application to a class of nonlinear problem will be given, and if times permit a discussion of similar problems on the sphere will be given.
- Links
Last modified: Oct 15, 2013, 6:22:43 PM
Location
TUD Willers-Bau (WIL A 221)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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