This paper has two main goals. First, we are concerned with a description of all self-adjoint
extensions of the Laplacian-Δ| _ C_0^ ∞ (Ω) in L 2 (Ω; dnx). Here, the domain Ω belongs to …

1 Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples Page 1 1 Elliptic
operators, Dirichlet-to-Neumann maps and quasi boundary triples Jussi Behrndt and Matthias …

Diverse closed (and selfadjoint) realizations of elliptic differential expressions A= Σ 0⩽| α|,|
β|⩽ m (− 1) α D α a α, β (x) D β, a α, β (·)∈ C∞(̄ Ω) on smooth (bounded or unbounded) …

We study spectral properties for HK, Ω, the Krein–von Neumann extension of the perturbed
Laplacian− Δ+ V defined on C0∞(Ω), where V is measurable, bounded and nonnegative, in …

Trace formulas for pairs of self-adjoint, maximal dissipative and accumulative as well as
other types of resolvent comparable operators are obtained. In particular, the existence of a …

We introduce a purely functional analytic framework for elliptic boundary value problems in a
variational form. We define abstract Neumann and Dirichlet boundary conditions and a …

This book is concerned with model representations theory of linear non-selfadjoint and non-
unitary operators, one of booming areas of functional analysis. This area owes its origin to …

One of the central objects in the theory of singular Sturm-Liouville differential expressions is
the Titchmarsh-Weyl function m introduced and studied in the classical works of Titchmarsh …

A generalized variant of the Calderón problem from electrical impedance tomography with
partial data for anisotropic Lipschitz conductivities is considered in an arbitrary space …

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 a densely …