On a long range segregation model
- Caffarelli, Luis
- Patrizi, Stefania
- Quitalo, Veronica
2010 Mathematics Subject Classification
- 35J60 35R35 35B65 35Q92
- regularity for viscosity solutions, segregation of populations
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.
- J. Eur. Math. Soc., 19 (2017), pp. 3575-3628.