11 citations · 21 across the 9 of their papers we have counts for
7 papers · 1 filter
A Structural Observation on port-Hamiltonian Systems
Rainer Picard, Sascha Trostorff, Bruce Watson +1
We study port-Hamiltonian systems on a familiy of intervals and characterise all boundary conditions leading to -accretive realisations of the port-Hamiltonian operator and thus…
The Index of Some Mixed Order Dirac-Type Operators and Generalised Dirichlet-Neumann Tensor Fields
Dirk Pauly, Marcus Waurick
We revisit a construction principle of Fredholm operators using Hilbert complexes of densely defined, closed linear operators and apply this to particular choices of differential o…
A Hilbert space approach to fractional differential equations
Kai Diethelm, Konrad Kitzing, Rainer Picard +3
We study fractional differential equations of Riemann-Liouville and Caputo type in Hilbert spaces. Using exponentially weighted spaces of functions defined on , we defi…
A note on perturbations of -semigroups
Christian Seifert, Hendrik Vogt, Marcus Waurick
This article deals with a variation of constants type inequality for semigroups acting consistently on a scale of Banach spaces. This inequality can be characterized by a correspon…
On Differential-Algebraic Equations in Infinite Dimensions
Sascha Trostorff, Marcus Waurick
We consider a class of differential-algebraic equations (DAEs) with index zero in an infinite dimensional Hilbert space. We define a space of consistent initial values, which lead…
G-convergence of linear differential equations
Marcus Waurick
We discuss -convergence of linear integro-differential-algebaric equations in Hilbert spaces. We show under which assumptions it is generic for the limit equation to exhibit mem…