Dr. Sven Jarohs

Current Position: Coordinator of Studies.

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. "Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions" joint work with Nicola Abatangelo, Serena Dipierro, Mouhamed Moustapha Fall, and Alberto Saldana, preprint available online at [ArXiv] (2018)
  2. "On the maximum principle for nonlocal operators" joint with Tobias Weth, preprint available online at [ArXiv] (2017)
  3. "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)

Publications:

  1. "Green function and Martin kernel for higher-order fractional Laplacians in balls" joint with Nicola Abatangelo and Alberto Saldana,
    to appear in Nonlinear Analysis [doi], extended preprint available online at [ArXiv] (2016)
    Addendum.
  2. "On the loss of maximum principles for higher-order fractional Laplacians" joint with Nicola Abatangelo and Alberto Saldana,
    to appear in Proceedings of the American Mathematical Society, extended preprint available online at [ArXiv] (2016)
  3. "Positive powers of the Laplacian: from hypersingular integrals to boundary value problems" joint with Nicola Abatangelo and Alberto Saldana, to appear in Communications on Pure and Applied Analysis, preprint available online at [ArXiv] (2017)
  4. "Integral representation of solutions to higher-order fractional Dirichlet problems on balls" joint with Nicola Abatangelo and Alberto Saldana, to appear in Communications in Contemporary Mathematics [doi], preprint available online at [ArXiv] (2017)
    Addendum.
  5. "Strong comparison principle for the fractional p-Laplacian and applications to starshaped rings", to appear in Advanced Nonlinear Studies [doi], preprint available online at [ArXiv] (2017)
  6. "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)
  7. "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)
  8. "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)
  9. "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)