Lower bounds for Dirichlet Laplacians and uncertainty principles
Peter Stollmann
Technische Universität Chemnitz, GermanyGünter Stolz
University of Alabama at Birmingham, USA
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Abstract
We prove lower bounds for the Dirichlet Laplacian on possibly unbounded domains in terms of natural geometric conditions. This is used to derive uncertainty principles for low energy functions of general elliptic second order divergence form operators with not necessarily continuous main part.
Cite this article
Peter Stollmann, Günter Stolz, Lower bounds for Dirichlet Laplacians and uncertainty principles. J. Eur. Math. Soc. 23 (2021), no. 7, pp. 2337–2360
DOI 10.4171/JEMS/1055