Minimizing and flow problems for multiple-valued functions and maps

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dc.contributor.advisorHardt, Robert M.en_US
dc.contributor.advisorWolf, Michaelen_US
dc.creatorZhu, Weien_US
dc.date.accessioned2009-06-03T21:10:00Zen_US
dc.date.available2009-06-03T21:10:00Zen_US
dc.date.issued2007en_US
dc.description.abstractWe consider variational problems in the setting of multiple-valued functions (with a fixed number of values) and multiple-valued maps into manifolds. In particular, for an energy minimizing map into a sphere, we prove that the interior singular set is at least of codimension three. We also construct an energy reducing flow for multiple-valued functions, which is H older continuous with respect to its L 2 norms. Some questions concerning regularity and vanishing of branch points are also addressed.en_US
dc.format.extent50 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH. 2007 ZHUen_US
dc.identifier.citationZhu, Wei. "Minimizing and flow problems for multiple-valued functions and maps." (2007) Diss., Rice University. <a href="https://hdl.handle.net/1911/20678">https://hdl.handle.net/1911/20678</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/20678en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectMathematicsen_US
dc.titleMinimizing and flow problems for multiple-valued functions and mapsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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