27 citations · 166 across the 39 of their papers we have counts for
60 papers
On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs
Davide Bianchi, Matthias Keller, Alberto G. Setti +1
We study the accretivity and m-accretivity of Laplacian and porous medium-type operators on weighted graphs. In particular, we give several conditions that imply these properties f…
Boundary representations of intermediate forms between a regular Dirichlet form and its active main part
Matthias Keller, Daniel Lenz, Marcel Schmidt +2
We characterize all semigroups sandwiched between the semigroup of a Dirichlet form and the semigroup of its active main part. In case the Dirichlet form is regular, we give a more…
Anchored heat kernel upper bounds on graphs with unbounded geometry and anti-trees
Matthias Keller, Christian Rose
We derive Gaussian heat kernel bounds on graphs with respect to a fixed origin for large times under the assumption of a Sobolev inequality and volume doubling on large balls. The…
Optimal Hardy Inequality for Fractional Laplacians on the Integers
Matthias Keller, Marius Nietschmann
We study the fractional Hardy inequality on the integers. We prove the optimality of the Hardy weight and hence affirmatively answer the question of sharpness of the constant.
Gaussian upper bounds for heat kernels on graphs with unbounded geometry
Matthias Keller, Christian Rose
We prove large-time Gaussian upper bounds for continuous-time heat kernels of Laplacians on graphs with unbounded geometry. Our estimates hold for centers of large balls satisfying…
On Liouville theorems for Dirichlet forms
Bobo Hua, Matthias Keller, Daniel Lenz +1
We study harmonic functions for general Dirichlet forms. First we review consequences of Fukushima's ergodic theorem for the harmonic functions in the domain of the gener…