Marvin Weidner

I am a Professor (Bonn Junior Fellow) at the Institute for Applied Mathematics at the University of Bonn
(since September 2025).

From September 2022 - August 2025, I was a postdoctoral researcher in the ERC projects "SSNSD" and "EllipticPDE" led by Xavier Ros-Oton at the Universitat de Barcelona.
In August 2022, I obtained my PhD from Bielefeld University, under the supervision of Moritz Kaßmann, where I was a student in the IRTG 2235.
 

My research focuses on regularity theory  for partial differential equations. In particular, I am interested in 

  • nonlocal equations, 

  • kinetic theory,

  • free boundary problems.


See my personal webpage for a complete list of my research articles and talks.

 


Selected Papers

  • Optimal boundary regularity and Green function estimates for nonlocal equations in divergence form,
    M. Kim, M. Weidner.
    J. Eur. Math. Soc. accepted for publication
     
  • Optimal regularity for kinetic Fokker-Planck equations in domains,
    X. Ros-Oton, M. Weidner.
    arXiv Preprint (2025)
     
  • Improvement of flatness for nonlocal free boundary problems,
    X. Ros-Oton, M. Weidner.
    J. Eur. Math. Soc. accepted for publication.
     
  • Potential theory for nonlocal drift-diffusion equations,
    Q.-H. Nguyen, S. Nowak, Y. Sire, M. Weidner.
    Arch. Rat. Mech. Anal. 248 (2024), No.126.
     
  • Semiconvexity estimates for nonlinear integro-differential equations,
    X. Ros-Oton, C. Torres-Latorre, M. Weidner.
    Comm. Pure Appl. Math. 78 (2025), No.3, 592-647.
     
  • The parabolic Harnack inequality for nonlocal equations,
    M. Kassmann, M. Weidner.
    Duke Math. J. 173 (2024), No.17, 3413-3451.

     

 

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