22 citations · 99 across the 35 of their papers we have counts for
13 papers · 1 filter
Spatial Approximation for Evolutionary Equations
Andreas Buchinger, Christian Seifert, Sascha Trostorff +1
We consider evolutionary equations as introduced by R.\ Picard in 2009 and develop a general theory for approximation which can be seen as a theoretical foundation for numerical an…
M-Accretivity via Boundary Systems
Sascha Trostorff
We consider skew-symmetric operators on a Hilbert space and study m-accretive restrictions of their negative adjoints. Using the theory of boundary systems, we provide a full chara…
A Note on Some Non-Local Boundary Conditions and their Use in Connection with Beltrami Fields
Rainer Picard, Sascha Trostorff
We consider two operators between two Hilbert spaces satisfying and and inspect extensions and $B…
M-Accretive Realisations of Skew-Symmetric Operators
Rainer Picard, Sascha Trostorff
We consider skew-symmetric operators on a Hilbert space and characterise all (nonlinear) m-accretive restrictions of in terms of the "deficiency spac…
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…
Semigroups and Evolutionary Equations
Sascha Trostorff
We show how strongly continuous semigroups can be associated with evolutionary equations. For doing so, we need to define the space of admissible history functions and initial stat…