Zilverling

Dr. habil. K. Kruse (Karsten)

Lecturer
EEMCS-AM-MAST
Zilverling 3009
k.kruse@utwente.nl
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I joined the Department of Applied Mathematics as a lecturer in September 2023. After studying mathematics (2004-2010) and obtaining my PhD at the University of Oldenburg (2010-2014), I was a postdoc at the Hamburg University of Technology (2014-2023) where I completed my Habilitation in mathematics in 2022. During my time as a postdoc, I also worked as an adjunct lecturer at the Hamburg University of Applied Sciences. 

My research interests lie in the realm of Functional Analysis and its applications, among others partial differential equations, abstract Cauchy problems, semigroup theory and the theory of locally convex spaces. Besides, I am also interested in e-learning and e-assessment in mathematics.

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Expertise

  • Mathematics

    • Locally Convex
    • Continuous Semigroup
    • Hyperfunction
    • Strongly Continuous Semigroup
    • Boundary Value
    • Locally Convex Space

  • Computer Science

    • Mobile Robotics
    • Robot

Organisations

Publications

2025

Vector-valued Fourier hyperfunctions and boundary values (2025)[Working paper › Preprint]. ArXiv.org. Kruse, K.https://doi.org/10.48550/arXiv.1912.03659Vector-valued Fourier hyperfunctions and boundary values (2025)Kyoto Journal of Mathematics (E-pub ahead of print/First online). Kruse, K.https://doi.org/10.1215/21562261-2024-0030Continuous maximal regularity in locally convex spaces (2025)Studia mathematica, 285(1), 41-89. Kruse, K. & Schwenninger, F. L.https://doi.org/10.4064/sm240822-31-7Spectral theory for semigroups on locally convex spaces (2025)[Working paper › Preprint]. ArXiv.org. Kruse, K.https://doi.org/10.48550/arXiv.2509.11931On linearization and uniqueness of preduals (2025)Mathematische Nachrichten (E-pub ahead of print/First online). Kruse, K.https://doi.org/10.1002/mana.202400355

2024

C-maximal regularity for operator semigroups on locally convex spaces (2024)[Working paper › Preprint]. ArXiv.org. Kruse, K. & Schwenninger, F. L.https://doi.org/10.48550/arXiv.2408.11437On linearisation and existence of preduals (2024)Rendiconti del Circolo Matematico di Palermo, 73, 1591-1615. Kruse, K.https://doi.org/10.1007/s12215-024-01004-8Mixed topologies on Saks spaces of vector-valued functions (2024)Topology and its Applications, 345. Article 108843. Kruse, K.https://doi.org/10.1016/j.topol.2024.108843Sun Dual Theory For Bi-Continuous Semigroups (2024)Analysis Mathematica, 50, 235-280. Kruse, K. & Schwenninger, F. L.https://doi.org/10.1007/s10476-024-00014-zWeighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces (2024)Complex analysis and operator theory, 18(5). Article 115. Kruse, K.https://doi.org/10.1007/s11785-024-01559-5

Research profiles

Address

University of Twente

Zilverling (building no. 11), room 3009
Hallenweg 19
7522 NH Enschede
Netherlands

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