Daniel Lenz, Peter Stollmann, Gunter Stolz
Published 2016-06-23Version 1
We prove a quantitative uncertainty principle at low energies for the Laplacian on fairly general weighted graphs with a uniform explicit control of the constants in terms of geometric quantities. A major step consists in establishing lower bounds for Dirichlet eigenvalues in terms of the geometry.
Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian
Explicit characterisation of the fractional power spaces of the Dirichlet Laplacian and Stokes operators
Finite reflection groups and symmetric extensions of Laplacian
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