Regularity of a segregation problem with an optimal control operator

Description

It is the main goal of this thesis to study the regularity of solutions for a nonlinear elliptic system coming from population segregation, and the free boundary problem that is obtained in the limit as the competition parameter goes to infinity [mathematical symbol]. The main results are existence and Hölder regularity of solutions of the elliptic system, characterization of the limit as a free boundary problem, and Lipschitz regularity at the boundary for the limiting problem. / text

Links & Downloads

1. http://hdl.handle.net/2152/21210

Tags

Fully nonlinear elliptic systems

Pucci operator

Regularity for viscosity solutions

Segregation of populations

Additional Fields

Identifer	oai:union.ndltd.org:UTEXAS/oai:repositories.lib.utexas.edu:2152/21210
Date	16 September 2013
Creators	Soares Quitalo, Veronica Rita Antunes de
Source Sets	University of Texas
Language	en_US
Detected Language	English
Format	application/pdf