Autor:	Quitalo, Veronica
Rok vydání:	2012
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
DOI:	10.1007/s00205-013-0661-5
Popis:	In this work, we show how to obtain a free boundary problem as the limit of a fully non linear elliptic system of equations that models population segregation (Gause-Lotka-Volterra type). We study the regularity of the solutions. In particular, we prove Lipschitz regularity across the free boundary. The problem is motivated by the work done by Caffarelli, Karakhanyan and Fang-Hua Lin for the linear case.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1210.6711 Zobrazit plný text záznamu View this record from Arxiv