Analysis seminar: A surgery result for the eigenvalues of the Dirichlet Laplacian
26 January 2015, 4.00 PM - 26 January 2015, 5.00 PM
Dorin Bucur, Universite de Savoie
Howard House, 4th floor seminar room
Abstract:
In this talk I will give a method to geometrically modify an open set such that the first k eigenvalues of the Dirichlet Laplacian and its perimeter are not increasing, its measure remains constant, and both perimeter and diameter decrease below a certain threshold. The key point of the analysis relies on the properties of the shape subsolutions for the torsion energy. This is joint work with D. Mazzoleni.
Contact information
Organisers: Michiel van den Berg, John Mackay