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 …

arXiv:0803.3179v2 [math.AP] 15 May 2008 Page 1 arXiv:0803.3179v2 [math.AP] 15 May 2008
GENERALIZED ROBIN BOUNDARY CONDITIONS, ROBIN-TO-DIRICHLET MAPS, AND …

In this paper, we combine results on extensions of operators with recent results on the
relation between the M‐function and the spectrum, to examine the spectral behaviour of …

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 …

A novel approach to critical-contrast homogenisation for periodic PDEs is proposed, via an
explicit asymptotic analysis of Dirichlet-to-Neumann operators. Norm-resolvent asymptotics …

This paper consists of two parts. In the first part, which is of more abstract nature, the notion
of quasi-boundary triples and associated Weyl functions is developed further in such a way …

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 …

A general representation formula for the scattering matrix of a scattering system consisting of
two self-adjoint operators in terms of an abstract operator valued Titchmarsh–Weyl m …

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 …