Dr. Sven Jarohs

Current Position: Member of "Starker Start - Goethe University Frankfurt".

Department of Mathematics and Computer Sciences,
Goethe-University Frankfurt am Main.

Contact:

Tel: 069/798-23531
jarohs@math.uni-frankfurt.de
Robert-Mayer-Straße 10, Raum 904
D-60325 Frankfurt am Main

 

Teaching:

Complete teaching list.

Applied Analysis and Numerics Seminar


Research interests:

Nonlocal problems and nonlocal diffusion equations, long-time behavior of solutions,
geometric and regularity related properties of solutions, maximum principles.


Recent and upcoming Talks/Conferences:

Complete list of past talks and conferences.

Preprints:

  1. "Integral representation of solutions to higher-order fractional Dirichlet problems on balls" joint with Nicola Abatangelo and Alberto Saldana,
    preprint available online at [ArXiv] (2017)
  2. "Strong comparison principle for the fractional p-Laplacian and applications to starshaped rings", preprint available online at [ArXiv] (2017)
  3. "On the maximum principle for nonlocal operators" joint with Tobias Weth, preprint available online at [ArXiv] (2017)
  4. "Starshape of the superlevel sets of solutions to equations involving the fractional Laplacian in starshaped rings" joint with Tadeusz Kulczycki and Paolo Salani, preprint available online at [ArXiv] (2017)
  5. "On the maximum principle for higher-order fractional Laplacians" joint with Nicola Abatangelo and Alberto Saldana,
    preprint available online at [ArXiv] (2016)

Publications:

  1. "Symmetry of solutions to nonlocal nonlinear boundary value problems in radial sets",
    Nonlinear Differential Equations and Applications 23.3 (2016), 1--22, preprint available online at [ArXiv] (2015)
  2. "Symmetry via antisymmetric maximum principles in nonlocal problems of variable order" joint with Tobias Weth,
    Annali di Matematica Pura ed Applicata (4) 195.1 (2016), 273-291 [doi], preprint available online at [ArXiv] (2014)
  3. "Overdetermined problems with fractional Laplacian" joint with Mouhamed Moustapha Fall,
    ESAIM: Control, Optimisation and Calculus of Variations 21.4 (2015), 924--938, preprint available online at [ArXiv] (2014)
  4. "Asymptotic symmetry for a class of nonlinear fractional reaction diffusion equations" joint with Tobias Weth,
    Discrete and Continuous Dynamical Systems - Series A 34.6 (2014), 2581--2615, preprint available online at [ArXiv] (2013)

Dissertation:

"Symmetry via maximum principles for nonlocal nonlinear boundary value problems" doctoral thesis, Goethe University Frankfurt (2015) (see here)