Institute of Applied Analysis

Lukas Niebel

Link to my updated Personal webpage

Research interests
  • Kinetic maximal Lp-regularity with temporal weights and applications to quasilinear kinetic equations
  • Analytic aspects of kinetic equations, for example Harnack inequalities
  • Ricci curvature for graphs via convexity of the entropy

Publications and Preprints

  • L. Niebel, R. Zacher
    Kinetic maximal L²-Regularity for the (fractional) Kolmogorov equation, Journal of Evolution Equations, Journal of Evolution Equations 2021 (ArXiv).
  • L. Niebel, R. Zacher
    Kinetic maximal Lp-regularity with temporal weights and application to quasilinear kinetic diffusion equations, accepted for publication in Journal of Differential Equations (ArXiv).
  • L. Niebel
    Kinetic maximal Lpμ(Lp)-regularity for the fractional Kolmogorov equation with variable density, Nonlinear Analysis 2021 (ArXiv-Version).

Teaching

Talks

  • Kinetic maximal Lp-regularity and application to quasilinear kinetic diffusion equations, Seminar: Nonlinear Evolution Equations and Approximations in Essen, July 2021 (Download the slides here)

Poster

  • Winterschool on Analysis and Applied Mathematics, 22-26 February 2021, Münster, Germany (Download the poster here).

  • Frontiers in analysis of kinetic equations, 10-14 January 2022, Isaac Newton Institute, Cambridge, UK (Download the poster here). 

Office hours

By appointment.