Regularity of a segregation problem with an optimal control operator

dc.contributor.advisorCaffarelli, Luis A.
dc.contributor.advisorGomes, Diogo Aguiar
dc.creatorSoares Quitalo, Veronica Rita Antunes deen
dc.date.accessioned2013-09-16T17:51:24Zen
dc.date.issued2013-08en
dc.date.submittedAugust 2013en
dc.date.updated2013-09-16T17:51:25Zen
dc.descriptiontexten
dc.description.abstractIt 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.departmentMathematicsen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/2152/21210en
dc.language.isoen_USen
dc.subjectFully nonlinear elliptic systemsen
dc.subjectPucci operatoren
dc.subjectRegularity for viscosity solutionsen
dc.subjectSegregation of populationsen
dc.titleRegularity of a segregation problem with an optimal control operatoren
thesis.degree.departmentMathematicsen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen
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