Zobrazeno 1 - 10
of 196
pro vyhledávání: '"Tretter, Christiane"'
Autor:
Rösler, Frank, Tretter, Christiane
We study the computational complexity of the eigenvalue problem for the Klein-Gordon equation in the framework of the Solvability Complexity Index Hierarchy. We prove that the eigenvalue of the Klein-Gordon equation with linearly decaying potential c
Externí odkaz:
http://arxiv.org/abs/2210.12516
We analyse how the spectrum of the anisotropic Maxwell system with bounded conductivity on a Lipschitz domain is approximated by domain truncation. First we prove a new non-convex enclosure for the spectrum of the Maxwell system, with weak assumption
Externí odkaz:
http://arxiv.org/abs/2208.13089
Autor:
Gerhat, Borbala, Tretter, Christiane
Publikováno v:
Complex Anal. Oper. Theory 16, 78 (2022)
We introduce the new concepts of pseu\-do numerical range for operator functions and families of sesquilinear forms as well as the pseu\-do block numerical range for $n \times n$ operator matrix functions. While these notions are new even in the boun
Externí odkaz:
http://arxiv.org/abs/2204.03584
Autor:
Arlinskiĭ, Yury, Tretter, Christiane
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 December 2023 528(2)
Autor:
Arlinskii, Yury, Tretter, Christiane
Publikováno v:
Adv. in Math. 2020
This paper shows that for the domain intersection $\dom T\cap\dom T^*$ of a closed linear operator and its Hilbert space adjoint everything is possible for very common classes of operators with non-empty resolvent set. Apart from the most striking ca
Externí odkaz:
http://arxiv.org/abs/1911.05042
We introduce the concept of essential numerical range $W_{\!e}(T)$ for unbounded Hilbert space operators $T$ and study its fundamental properties including possible equivalent characterizations and perturbation results. Many of the properties known f
Externí odkaz:
http://arxiv.org/abs/1907.09599
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Autor:
Stefani, Frank, Tretter, Christiane
One of the most remarkable features of the geodynamo is the irregular occurrence of magnetic field reversals. Starting with the operator theoretical treatment of a non-selfadjoint dynamo operator, we elaborate a dynamical picture of those reversals t
Externí odkaz:
http://arxiv.org/abs/1805.00238
Publikováno v:
Journal of Differential Equations 2018
We analyze new phenomena arising in linear damped wave equations on unbounded domains when the damping is allowed to become unbounded at infinity. We prove the generation of a contraction semigroup, study the relation between the spectra of the semig
Externí odkaz:
http://arxiv.org/abs/1802.07026