Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Skrepek, Nathanael"'
Autor:
Pauly, Dirk, Skrepek, Nathanael
For a bounded Lipschitz domain with Lipschitz interface we show the following compactness theorem: Any L2-bounded sequence of vector fields with L2-bounded rotations and L2-bounded divergences as well as L2-bounded tangential traces on one part of th
Externí odkaz:
https://tud.qucosa.de/id/qucosa%3A91612
https://tud.qucosa.de/api/qucosa%3A91612/attachment/ATT-0/
https://tud.qucosa.de/api/qucosa%3A91612/attachment/ATT-0/
We refine the understanding of continuous dependence on coefficients of solution operators under the nonlocal $H$-topology viz Schur topology in the setting of evolutionary equations in the sense of Picard. We show that certain components of the solu
Externí odkaz:
http://arxiv.org/abs/2409.07084
Autor:
Skrepek, Nathanael, Waurick, Marcus
Publikováno v:
J. of Differential Equations, 394:345-374, 2024
We regard anisotropic Maxwell's equations as a boundary control and observation system on a bounded Lipschitz domain. The boundary is split into two parts: one part with perfect conductor boundary conditions and the other where the control and observ
Externí odkaz:
http://arxiv.org/abs/2310.12123
Autor:
Skrepek, Nathanael, Pauly, Dirk
We investigate the boundary trace operators that naturally correspond to $\mathrm{H}(\operatorname{curl},\Omega)$, namely the tangential and twisted tangential trace, where $\Omega \subseteq \mathbb{R}^{3}$. In particular we regard partial tangential
Externí odkaz:
http://arxiv.org/abs/2309.14977
Considering evolutionary equations in the sense of Picard, we identify a certain topology for material laws rendering the solution operator continuous if considered as a mapping from the material laws into the set of bounded linear operators, where t
Externí odkaz:
http://arxiv.org/abs/2309.09499
Autor:
Skrepek, Nathanael
In this work we investigate the Sobolev space $\mathrm{H}^{1}(\partial\Omega)$ on a strong Lipschitz boundary $\partial\Omega$, i.e., $\Omega$ is a strong Lipschitz domain. In most of the literature this space is defined via charts and Sobolev spaces
Externí odkaz:
http://arxiv.org/abs/2304.06386
Autor:
Skrepek, Nathanael
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 setting we lack of a chain inclusion. We replace the continuous embedding
Externí odkaz:
http://arxiv.org/abs/2301.04610
We propose a new interconnection relation for infinite-dimensional port-Hamiltonian systems that enables the coupling of ports with different spatial dimensions by integrating over the the surplus dimensions. To show the practical relevance, we apply
Externí odkaz:
http://arxiv.org/abs/2202.06370
Autor:
Skrepek, Nathanael, Waurick, Marcus
Publikováno v:
In Journal of Differential Equations 15 June 2024 394:345-374
Autor:
Jacob, Birgit, Skrepek, Nathanael
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 feedback law. We formulate the wave equation in a port-Hamiltonian fashion a
Externí odkaz:
http://arxiv.org/abs/2104.03163