Research

Interests

Publications

Preprints submitted

  1. André Schlichting, Martin Slowik.  Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities. [ arXiv | pdf ]
  2. André Schlichting, Christian Seis.  Analysis of the implicit upwind finite volume scheme with rough coefficients. [ arXiv | pdf ]
  3. André Schlichting. Macroscopic limit of the Becker-Döring equation via gradient flows. [ arXiv pdf ]

Peer reviewed

  1. Simon Eberle, Barbara Niethammer, André Schlichting. Gradient flow formulation and longtime behaviour of a constrained Fokker-Planck equation. Nonlinear Anal. 158C (2017), 142–167. [ doi | journal | arXiv| pdf ]
  2. André Schlichting, Christian Seis. Convergence rates for upwind schemes with rough
    coefficients. SIAM J. Numer. Anal. 55 (2), 812–840, 2017. [ doi | arXiv |pdf ]
  3. Matthias Erbar, Max Fathi, Vaios Laschos, André Schlichting. Gradient flow structure for McKean-Vlasov equations on discrete spaces. Discret. Contin. Dyn. Syst. 36, 2016. [ doi | arXiv | pdf ]
  4. Georg Menz, André Schlichting. Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape. Ann. Probab. 42(5), 2014. [ link | arXiv | pdf ]
  5. A. Schlichting. Time discretisation for a class of singular phase field models. Adv. Math. Sci. Appl. 55 (2009) 665–700. [ link | pdf ]

Proceedings

  1. A. Schlichting, M. Slowik. Capacitary inequalities in discrete setting and application to metastable Markov chains, Oberwolfach Report 35/2015. [ link | pdf ]
  2. E. Boissard, N. Gozlan, J. Lehec, C. Léonard, G. Menz, A. Schlichting.
    Some recent developments in functional inequalities. [ link | pdf ]
    Journées MAS 2012. ESAIM: Proc. 44 338-354 (2014)
  3. A. Schlichting and W. Sproessig. Norm estimations of the modified teodorescu transform with application to a multidimensional equation of airy type.
    AIP Conference Proceedings, 1048(1):701-705, September 2008. [ DOI | http | pdf ]

Thesis

  1. André Schlichting. The Eyring-Kramers formula for Poincaré and logarithmic Sobolev inequalities, 2012. PhD-thesis [ Qucosa | pdf ]
  2. A. Schlichting. Solvability, approximation and estimates for a class of singular
    phase field models. Master's thesis, University of Mining and Technology Freiberg and University of Pavia, 2008. [ pdf ]