• Medientyp: Sonstige Veröffentlichung; E-Artikel
  • Titel: On a long range segregation model
  • Beteiligte: Quitalo, Veronica [Verfasser:in]; Caffarelli, Luis [Verfasser:in]; Patrizi, Stefania [Verfasser:in]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2017
  • Sprache: Englisch
  • DOI: https://doi.org/10.4171/jems/747
  • Schlagwörter: article ; regularity for viscosity solutions -- segregation of populations
  • Entstehung:
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  • Beschreibung: Segregation phenomena occurs in many areas of mathematics and science: from equipartition problems in geometry, to social and biological processes (cells, bacteria, ants, mammals) to finance (sellers and buyers). There is a large body of literature studying segregation models where the interaction between species is punctual. There are many processes though, where the growth of a population at a point is inhibited by the populations in a full area surrounding that point. This work is a first attempt to study the properties of such a segregation process.