Florian Grube

I was a Doctoral student of Prof. Dr. Moritz Kaßmann and obtained my phd in 2025

Office V4 - 221
Email
P.O. Box 72 in V3 - 128
website here
arXiv here
orcid here

Partial Differential Equations, Nonlocal Operators, Regularity Theory, Norm Inflation, Zakharov System

Grube, F. “Integro-Differential Operators on Bounded Domains”. Bielefeld: Universität Bielefeld. (2025) https://doi.org/10.4119/unibi/3005241

• Grube, F., Hensiek, T., Schefer, W. “The Dirichlet problem for Levy-stable operators with L2-data”. In: Calc. Var. 63, 74 (2024). https://doi.org/10.1007/s00526-024-02679-8
• Grube, F. and Hensiek, T.“Robust nonlocal trace spaces and Neumann problems”. In: Nonlinear Analysis 241 (2024), p. 113481. issn: 0362-546X. doi: https://doi.org/10.1016/j.na.2023.113481.
• Grube, F. and Hensiek, T., Maximum principle for stable operators, Math. Nachr. 296 (2023), 5684–5702. https://doi.org/10.1002/mana.202200354

• The inhomogeneous fractional Dirichlet problem, FG, 2025, https://arxiv.org/abs/2510.01055
• Pointwise estimates of the fundamental solution to the fractional Kolmogorov equation, FG, 2024 https://arxiv.org/abs/2411.00687
• Boundary regularity and Hopf lemma for nondegenerate stable operators, FG, 2024 https://arxiv.org/abs/2410.00829
• The Dirichlet Problem for Lévy-stable operators with L2-data, T.Hensiek, W.Schefer, FG, 2023 https://arxiv.org/abs/2307.15235
• Robust nonlocal trace and extension theorems, M. Kassmann, FG, 2023, https://arxiv.org/abs/2305.05735
• Robust nonlocal trace spaces and Neumann problems, T. Hensiek, FG, 2022, https://arxiv.org/abs/2209.04397
• Maximum principle for stable operators, T. Hensiek, FG, 2022, https://arxiv.org/abs/2206.15315
• Norm inflation for the Zakharov system, FG, 2022, https://arxiv.org/abs/2203.09823