Regularity of a segregation problem with an optimal control operator

dc.contributor.advisor	Caffarelli, Luis A.
dc.contributor.advisor	Gomes, Diogo Aguiar
dc.creator	Soares Quitalo, Veronica Rita Antunes de	en
dc.date.accessioned	2013-09-16T17:51:24Z	en
dc.date.issued	2013-08	en
dc.date.submitted	August 2013	en
dc.date.updated	2013-09-16T17:51:25Z	en
dc.description	text	en
dc.description.abstract	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.	en
dc.description.department	Mathematics	en
dc.format.mimetype	application/pdf	en
dc.identifier.uri	http://hdl.handle.net/2152/21210	en
dc.language.iso	en_US	en
dc.subject	Fully nonlinear elliptic systems	en
dc.subject	Pucci operator	en
dc.subject	Regularity for viscosity solutions	en
dc.subject	Segregation of populations	en
dc.title	Regularity of a segregation problem with an optimal control operator	en
thesis.degree.department	Mathematics	en
thesis.degree.discipline	Mathematics	en
thesis.degree.grantor	The University of Texas at Austin	en
thesis.degree.level	Doctoral	en
thesis.degree.name	Doctor of Philosophy	en