Weitere Informationen zum ausgewählten Kolloquiumsvortrag:

Norm resolvent concergence of operators in varying spaces and applications

Prof. Olaf Post, Universität Trier

Donnerstag, 2017-05-18 17:00Uhr

In many problems one is interested in the convergence of Laplacians on spaces, that change not only metrically, but also topologically. An example is given by the (Neumann) Laplacian on a small neighbourhood of an embedded graph, or by Laplacians on manifolds with small obstacles removed.

We will discuss a generalised norm resolvent convergence, that allows the operators to act in varying spaces, and which still has the usual consequences of norm resolvent convergence, such as convergence of the spectra.