Graphs

8 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 Graph-to-local limit for the nonlocal interaction equation
  Antonio Esposito, Georg Heinze and André Schlichting
  J. Math. Pures Appl. 194, 103663 (2025)
• 2024 Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits
  Georg Heinze, Jan-Frederik Pietschmann and André Schlichting
• 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)
• 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)
• 2016 Gradient flow structure for McKean-Vlasov equations on discrete spaces
  Matthias Erbar, Max Fathi, Vaios Laschos and André Schlichting
  Discrete Contin. Dyn. Syst. 36(12), 6799–6833 (2016)