Nonlocal Equations

12 publications · all research

• 2026 Evolution equations on graphs: analysis and applications
  Katy Craig, Antonio Esposito, Dimitrios Giannakis and André Schlichting
  Editorial Announcement, European Journal of Applied Mathematics 37(3), 551–552 (2026)
• 2025 Existence and Non-existence for Continuous Generalized Exchange-Driven Growth model
  Chun Yin Lam and André Schlichting
• 2025 Graph-to-local limit for the nonlocal interaction equation
  Antonio Esposito, Georg Heinze and André Schlichting
  J. Math. Pures Appl. 194, 103663 (2025)
• 2024 On a novel gradient flow structure for the aggregation equation
  Antonio Esposito, Rishabh S. Gvalani, André Schlichting and Markus Schmidtchen
  Calc. Var. & PDE 63(5), 126 (2024)
• 2024 On a class of nonlocal continuity equations on graphs
  Antonio Esposito, Francesco S. Patacchini and André Schlichting
  European J. Appl. Math. 35(1), 109–126 (2024)
• 2023 Graph-to-local limit for a multi-species nonlocal cross-interaction system
  Antonio Esposito, Georg Heinze, Jan-Frederik Pietschmann and André Schlichting
  PAMM 23(4) (2023)
• 2022 The Scharfetter-Gummel scheme for aggregation-diffusion equations
  André Schlichting and Christian Seis
  IMA J. Numer. Anal. 42(3), 2361–2402 (2022)
• 2021 Nonlocal equations on discrete spaces inspired by numerical schemes
  Antonio Esposito, Francesco S. Patacchini, André Schlichting, Dejan Slepčev and Christian Seis
  Oberwolfach Reports: Variational Methods for Evolution (hybrid meeting) 17(2), 1391-1467 (2021), Oberwolfach Report 29/2020
• 2021 Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit
  Antonio Esposito, Francesco S. Patacchini, André Schlichting and Dejan Slepčev
  Arch. Ration. Mech. Anal. 240(2), 699–760 (2021)
• 2019 A non-local problem for the Fokker-Planck equation related to the Becker-Döring model
  Joseph G. Conlon and André Schlichting
  Discrete Contin. Dyn. Syst. 39(4), 1821–1889 (2019)
• 2019 A non-local Fokker-Planck equation related to nucleation and coarsening
  Joseph G. Conlon and André Schlichting
  Oberwolfach Reports: Interplay Anal. Probab. Appl. Math. 15(1), 311–381 (2019), Oberwolfach Report 6/2018
• 2017 Gradient flow formulation and longtime behaviour of a constrained Fokker-Planck equation
  Simon Eberle, Barbara Niethammer and André Schlichting
  Nonlinear Anal. 158, 142–167 (2017)