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pro vyhledávání: '"A. Tautenhahn"'
The paper presents an approach for overcoming modeling problems of typical life science applications with partly unknown mechanisms and lacking quantitative data: A model family of reaction diffusion equations is built up on a mesoscopic scale and us
Externí odkaz:
http://arxiv.org/abs/2312.05982
Autor:
Rose, Christian, Tautenhahn, Martin
We prove quantitative unique continuation estimates for relatively dense sets and spectral subspaces associated to small energies of Schr\"odinger operators on Riemannian manifolds with Ricci curvature bounded below. The upper bound for the energy ra
Externí odkaz:
http://arxiv.org/abs/2305.06916
Publikováno v:
SIAM Journal on Control and Optimization 61 (2023) 313-339
We study non-autonomous observation systems \begin{align*} \dot{x}(t) = A(t) x(t),\quad y(t) = C(t) x(t),\quad x(0) = x_0\in X, \end{align*} where $(A(t))$ is a strongly measurable family of closed operators on a Banach space $X$ and $(C(t))$ is a fa
Externí odkaz:
http://arxiv.org/abs/2203.08469
Autor:
Olee Hoi Ying Lam, Jens Kattge, Susanne Tautenhahn, Gerhard Boenisch, Kyle R. Kovach, Philip A. Townsend
Publikováno v:
Ecology and Evolution, Vol 14, Iss 5, Pp n/a-n/a (2024)
Abstract Plant trait data are used to quantify how plants respond to environmental factors and can act as indicators of ecosystem function. Measured trait values are influenced by genetics, trade‐offs, competition, environmental conditions, and phe
Externí odkaz:
https://doaj.org/article/b7d5beaf8d1744019083ab485ee837b2
Autor:
Mohamed Albadry, Jonas Küttner, Jan Grzegorzewski, Olaf Dirsch, Eva Kindler, Robert Klopfleisch, Vaclav Liska, Vladimira Moulisova, Sandra Nickel, Richard Palek, Jachym Rosendorf, Sylvia Saalfeld, Utz Settmacher, Hans-Michael Tautenhahn, Matthias König, Uta Dahmen
Publikováno v:
Frontiers in Pharmacology, Vol 15 (2024)
There is a lack of systematic research exploring cross-species variation in liver lobular geometry and zonation patterns of critical drug-metabolizing enzymes, a knowledge gap essential for translational studies. This study investigated the critical
Externí odkaz:
https://doaj.org/article/46affa48e26a429382b68c799c8fe292
In this paper we consider a constrained parabolic optimal control problem. The cost functional is quadratic and it combines the distance of the trajectory of the system from the desired evolution profile together with the cost of a control. The const
Externí odkaz:
http://arxiv.org/abs/2109.13783
We study abstract sufficient criteria for open-loop stabilizability of linear control systems in a Banach space with a bounded control operator, which build up and generalize a sufficient condition for null-controllability in Banach spaces given by a
Externí odkaz:
http://arxiv.org/abs/2108.09028
Publikováno v:
In Journal of Cranio-Maxillo-Facial Surgery June 2024 52(6):704-706
Akademický článek
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Publikováno v:
J. Differential Equations 369 (2023), 405--423
Recent (scale-free) quantitative unique continuation estimates for spectral subspaces of Schr\"odinger operators are extended to allow singular potentials such as certain $L^p$-functions. The proof is based on accordingly adapted Carleman estimates.
Externí odkaz:
http://arxiv.org/abs/2011.01801