Martin Tautenhahn, Ivan Veselić: Sampling inequality for L²-norms of eigenfunctions of Schrödinger operators

Author(s):

Martin Tautenhahn
Ivan Veselić

Title:

Martin Tautenhahn, Ivan Veselić: Sampling inequality for L²-norms of eigenfunctions of Schrödinger operators

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 06, 2015

Mathematics Subject Classification:

    35J10 []

Abstract:

We prove a sampling inequality for $L^2$-norms of eigenfunctions of Schr\"odinger operators on $d$-dimensional space with bounded potential. This is a special case of an observability estimate for an elliptic differential operator.

Keywords:

Language:

English

Publication time:

03/2015