S
Sascha Trostorff
Researcher at Dresden University of Technology
Publications - 84
Citations - 815
Sascha Trostorff is an academic researcher from Dresden University of Technology. The author has contributed to research in topics: Hilbert space & Boundary value problem. The author has an hindex of 17, co-authored 80 publications receiving 750 citations. Previous affiliations of Sascha Trostorff include University of Kiel.
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A Hilbert Space Perspective on Ordinary Differential Equations with Memory Term
TL;DR: In this article, a time derivative is introduced as a normal operator in an appropriate Hilbert space, and a new approach to a solution theory covering integro-differential equations, neutral differential equations and general delay differential equations within a unified framework is presented.
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On non-autonomous evolutionary problems
TL;DR: In this article, the authors extend well-posedness results of a previously explored class of time-shift invariant evolutionary problems to the case of non-autonomous media, and exemplify the approach with an application to a Kelvin-Voigt-type model for visco-elastic solids.
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An alternative approach to well-posedness of a class of differential inclusions in Hilbert spaces☆
TL;DR: In this paper, the authors show the well-posedness of initial value problems for differential inclusions of a certain type using abstract perturbation results for maximal monotone operators in Hilbert spaces.
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On evolutionary equations with material laws containing fractional integrals
TL;DR: In this paper, a wellposedness result for a time-shift invariant class of evolutionary operator equations involving material laws with fractional time-integrals of order α ϵ ]0, 1[ is considered.
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On Evolutionary Equations with Material Laws Containing Fractional Integrals
TL;DR: A well-posedness result for a time-shift invariant class of evolutionary operator equations involving material laws with fractional time-integrals of order α 0,1[$] is considered and exemplified by an application to a Kelvin-Voigt type model.