69 citations · 371 across the 39 of their papers we have counts for
11 papers · 1 filter
The Krein-von Neumann Realization of Perturbed Laplacians on Bounded Lipschitz Domains
Jussi Behrndt, Fritz Gesztesy, Till Micheler +1
In this paper we study the self-adjoint Krein-von Neumann realization of the perturbed Laplacian in a bounded Lipschitz domain . We provide an ex…
A Bound for the Eigenvalue Counting Function for Higher-Order Krein Laplacians on Open Sets
Fritz Gesztesy, Ari Laptev, Marius Mitrea +1
For an arbitrary nonempty, open set , , of finite (Euclidean) volume, we consider the minimally defined higher-order Laplacian $(- Δ)^m\big…
A Survey on the Krein-von Neumann Extension, the corresponding Abstract Buckling Problem, and Weyl-Type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains
Mark S. Ashbaugh, Fritz Gesztesy, Marius Mitrea +2
In the first (and abstract) part of this survey we prove the unitary equivalence of the inverse of the Krein--von Neumann extension (on the orthogonal complement of its kernel) of…
On Dirichlet-to-Neumann Maps, Nonlocal Interactions, and Some Applications to Fredholm Determinants
Fritz Gesztesy, Marius Mitrea, Maxim Zinchenko
We consider Dirichlet-to-Neumann maps associated with (not necessarily self-adjoint) Schrodinger operators describing nonlocal interactions in , , where …
On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants
Fritz Gesztesy, Marius Mitrea, Maxim Zinchenko
We consider Dirichlet-to-Neumann maps associated with (not necessarily self-adjoint) Schrodinger operators in , , where is an open set with a compact, non…
Boundary Data Maps for Schrodinger Operators on a Compact Interval
Stephen Clark, Fritz Gesztesy, Marius Mitrea
We provide a systematic study of boundary data maps, that is, 2 \times 2 matrix-valued Dirichlet-to-Neumann and more generally, Robin-to-Robin maps, associated with one-dimensional…