Regularity of a segregation problem with an optimal control operator

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...

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Main Author:	Soares Quitalo, Veronica Rita Antunes de
Format:	Others
Language:	en_US
Published:	2013
Subjects:	Fully nonlinear elliptic systems Pucci operator Regularity for viscosity solutions Segregation of populations
Online Access:	http://hdl.handle.net/2152/21210

id	ndltd-UTEXAS-oai-repositories.lib.utexas.edu-2152-21210
record_format	oai_dc
spelling	ndltd-UTEXAS-oai-repositories.lib.utexas.edu-2152-212102015-09-20T17:15:16ZRegularity of a segregation problem with an optimal control operatorSoares Quitalo, Veronica Rita Antunes deFully nonlinear elliptic systemsPucci operatorRegularity for viscosity solutionsSegregation of populationsIt 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.text2013-09-16T17:51:24Z2013-082013-07-24August 20132013-09-16T17:51:25Zapplication/pdfhttp://hdl.handle.net/2152/21210en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
topic	Fully nonlinear elliptic systems Pucci operator Regularity for viscosity solutions Segregation of populations
spellingShingle	Fully nonlinear elliptic systems Pucci operator Regularity for viscosity solutions Segregation of populations Soares Quitalo, Veronica Rita Antunes de 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
author	Soares Quitalo, Veronica Rita Antunes de
author_facet	Soares Quitalo, Veronica Rita Antunes de
author_sort	Soares Quitalo, Veronica Rita Antunes de
title	Regularity of a segregation problem with an optimal control operator
title_short	Regularity of a segregation problem with an optimal control operator
title_full	Regularity of a segregation problem with an optimal control operator
title_fullStr	Regularity of a segregation problem with an optimal control operator
title_full_unstemmed	Regularity of a segregation problem with an optimal control operator
title_sort	regularity of a segregation problem with an optimal control operator
publishDate	2013
url	http://hdl.handle.net/2152/21210
work_keys_str_mv	AT soaresquitaloveronicaritaantunesde regularityofasegregationproblemwithanoptimalcontroloperator
_version_	1716823152965713920

Regularity of a segregation problem with an optimal control operator

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