Abstract We investigate the Bi-Laplacian with Wentzell boundary conditions in a bounded
domain Ω ⊆ R^ d Ω⊆ R d with Lipschitz boundary Γ Γ. More precisely, using form methods …

We develop a systematic theory of eventually positive semigroups of linear operators mainly
on spaces of continuous functions. By eventually positive we mean that for every positive …

The notion Perron–Frobenius theory usually refers to the interaction between three
properties of operator semigroups: positivity, spectrum and long-time behaviour. These …

We initiate a theory of locally eventually positive operator semigroups on Banach lattices.
Intuitively this means: given a positive initial datum, the solution of the corresponding …

We study the differential operator A= d^ 4 dx^ 4 A= d 4 dx 4 acting on a connected network
GG along with\mathcal L^ 2 L 2, the square of the discrete Laplacian acting on a connected …

In this PhD thesis, strongly continuous operator semigroups are studied. We show that
contractivity or positivity of such a semigroup can have a profound impact on its long time …

Abstract Consider a C_0 C 0-semigroup (e^ tA) _ t ≥ 0 (e tA) t≥ 0 on a function space or,
more generally, on a Banach lattice E. We prove a sufficient criterion for the operators e^ tA …

We develop the theory of torsional rigidity—a quantity routinely considered for Dirichlet
Laplacians on bounded planar domains—for Laplacians on metric graphs with at least one …

We analyze properties of semigroups generated by Schrödinger operators Δ− V or
polyharmonic operators−(− Δ) m, on metric graphs both on L p-spaces and spaces of …

This paper considers strongly continuous semigroups of operators on Banach lattices which
are locally eventually positive, a property that was first investigated in the context of concrete …