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Lower bounds for Dirichlet Laplacians and uncertainty principles

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.

preprint2020arXivOpen access
Peter StollmannGünter Stolz
math-phmath.MPmath.SP
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Peter StollmannGünter Stolz

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