21 citations · 35 across the 13 of their papers we have counts for
5 papers · 1 filter
Weak equals strong L2 regularity for partial tangential traces on Lipschitz domains
Nathanael Skrepek, Dirk Pauly
We investigate the boundary trace operators that naturally correspond to , namely the tangential and twisted tangential trace, where $Ω\subseteq…
Characterizations of the Sobolev space on the boundary of a strong Lipschitz domain in 3-D
Nathanael Skrepek
In this work we investigate the Sobolev space on a strong Lipschitz boundary , i.e., is a strong Lipschitz domain. In most of the literat…
Quasi Gelfand triples
Nathanael Skrepek
We generalize the notion of Gelfand triples (also called Banach-Gelfand triples or rigged Hilbert spaces) by dropping the necessity of a continuous embedding. This means in our set…
Stability of the multidimensional wave equation in port-Hamiltonian modelling
Birgit Jacob, Nathanael Skrepek
We investigate the stability of the wave equation with spatial dependent coefficients on a bounded multidimensional domain. The system is stabilized via a scattering passive feedba…
Well-posedness of linear first order Port-Hamiltonian Systems on multidimensional spatial domains
Nathanael Skrepek
We consider a port-Hamiltonian system on a spatial domain that is bounded with Lipschitz boundary. We show that there is a boundary triple associated to t…