37 citations · 202 across the 38 of their papers we have counts for
42 papers
A new uncertainty principle at low energies
Daniel lenz, peter Stollmann
We present a new method to prove uncertainty principles for functions of low energy in a very general set-up. This leads to results for metric measure spaces, Dirichlet spaces and…
Uncertainty principles and lower bounds for Schrödinger operators
Albrecht Böttcher, Peter Stollmann, Martin Tautenhahn
We prove that two different abstract quantitative uncertainty principles are equivalent to the strict positivity of the associated abstract Schrö\-din\-ger operators. We also discu…
On controllability, observability and stabilizability of the heat equation on discrete graphs
Florentin Münch, Christian Seifert, Peter Stollmann +1
We consider linear control problems for the heat equation of the form , , where is the weighted Laplacian on…
A new notion of subharmonicity on locally smoothing spaces, and a conjecture by Braverman, Milatovic, Shubin
Batu Güneysu, Stefano Pigola, Peter Stollmann +1
Given a strongly local Dirichlet space and , we introduce a new notion of --subharmonicity for $L^1_\loc$--functions, which we call \emph{local --shift defectivity},…
Essential spectrum and Feller type properties
Ali BenAmor, Batu Gueneysu, Peter Stollmann
We give necessary and sufficient conditions for a regular semi-Dirichlet form to enjoy a new Feller type property, which we call \emph{weak Feller property}. Our characterization i…
Universal lower bounds for Laplacians on weighted graphs
Daniel Lenz, Peter Stollmann
We discuss optimal lower bounds for eigenvalues of Laplacians on weighted graphs. These bounds are formulated in terms of the geometry and, more specifically, the inradius of subse…