Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Stahn, Reinhard"'
Autor:
Stahn, Reinhard
The thesis consists of two parts, a theoretical part and an applied part, and in addition an Appendix. Except for a very short chapter in the applied part and the appendix we only present previously unknown results leading to a very concise style. In
Externí odkaz:
https://tud.qucosa.de/id/qucosa%3A30721
https://tud.qucosa.de/api/qucosa%3A30721/attachment/ATT-2/
https://tud.qucosa.de/api/qucosa%3A30721/attachment/ATT-2/
Publikováno v:
Analysis & PDE 16 (2023) 1089-1132
We investigate the stability properties of strongly continuous semigroups generated by operators of the form $A-BB^\ast$, where $A$ is a generator of a contraction semigroup and $B$ is a possibly unbounded operator. Such systems arise naturally in th
Externí odkaz:
http://arxiv.org/abs/1911.04804
Autor:
Stahn, Reinhard
We prove decay rates for a vector-valued function $f$ of a non-negative real variable with bounded weak derivative, under rather general conditions on the Laplace transform $\hat{f}$. This generalizes results of Batty-Duyckaerts (2008) and other auth
Externí odkaz:
http://arxiv.org/abs/1710.10593
Publikováno v:
Advances in Mathematics 346 (2019), pp. 359-388
We investigate rates of decay for $C_0$-semigroups on Hilbert spaces under assumptions on the resolvent growth of the semigroup generator. Our main results show that one obtains the best possible estimate on the rate of decay, that is to say an upper
Externí odkaz:
http://arxiv.org/abs/1709.08895
Autor:
Stahn, Reinhard
We prove a quantified Tauberian theorem for functions under a new kind of Tauberian condition. In this condition we assume in particular that the Laplace transform of the considered function extends to a domain to the left of the imaginary axis, give
Externí odkaz:
http://arxiv.org/abs/1705.03641
Autor:
Stahn, Reinhard
Publikováno v:
J. of Differential Equations, Volume 265, Issue 6, 15 September 2018, Pages 2793-2824
We consider the wave equation with a boundary condition of memory type. Under natural conditions on the acoustic impedance $\hat{k}$ of the boundary one can define a corresponding semigroup of contractions (Desch, Fasangova, Milota, Probst 2010). Wit
Externí odkaz:
http://arxiv.org/abs/1701.01013
Autor:
Stahn, Reinhard
We consider the damped wave equation with Dirichlet boundary conditions on the unit square. We assume the damping to be a characteristic function of a strip. We prove the exact $t^{-4/3}$-decay rate for the energy of classical solutions. This answers
Externí odkaz:
http://arxiv.org/abs/1607.03633
Autor:
Stahn, Reinhard
We show the existence of a weak solution of a semilinear elliptic Dirichlet problem on an arbitrary open set. We make no assumptions about the open set, very mild regularity assumptions on the semilinearity, plus a coerciveness assumption which depen
Externí odkaz:
http://arxiv.org/abs/1507.08846
Publikováno v:
In Advances in Mathematics 13 April 2019 346:359-388
Autor:
Stahn, Reinhard
Publikováno v:
In Journal of Differential Equations 15 September 2018 265(6):2793-2824