13 citations · 41 across the 20 of their papers we have counts for
6 papers · 1 filter
Scattering theory of the Hodge-Laplacian under a conformal perturbation
Francesco Bei, Batu Güneysu, Jörn Müller
Let and be Riemannian metrics on a noncompact manifold , which are conformally equivalent. We show that under a very mild \emph{first order} control on the confo…
The Calderón-Zygmund inequality and Sobolev spaces on noncompact Riemannian manifolds
Batu Güneysu, Stefano Pigola
We introduce the concept of Calderón-Zygmund inequalities on Riemannian manifolds. For , these are inequalities of the form $$ \left\Vert \mathrm{Hess}\left( u\right) \…
-elliptic regularity and on the whole -scale on arbitrary manifolds
Davide Guidetti, Batu Güneysu, Diego Pallara
We define abstract Sobolev type spaces on -scales, , on Hermitian vector bundles over possibly noncompact manifolds, which are induced by smooth meas…
Recent probabilistic results on covariant Schrödinger operators on infinite weighted graphs
Batu Güneysu, Ognjen Milatovic
We review recent probabilistic results on covariant Schrödinger operators on vector bundles over (possibly locally infinite) weighted graphs, and explain applications like semiclas…
Stochastic differential equations for models of non-relativistic matter interacting with quantized radiation fields
Batu Güneysu, Oliver Matte, Jacob Schach Møller
We discuss Hilbert space-valued stochastic differential equations associated with the heat semi-groups of the standard model of non-relativistic quantum electrodynamics and of corr…
Sequences of Laplacian cut-off functions
Batu Güneysu
We derive several new applications of the concept of sequences of Laplacian cut-off functions on Riemannian manifolds (which we prove to exist on geodesically complete Riemannian m…