Minimizers of the vector-valued coarea formula

Simple item page
dc.contributor.advisorHardt, Robert M.en_US
dc.contributor.committeeMemberWolf, Michaelen_US
dc.contributor.committeeMemberCox, Steven J.en_US
dc.creatorCarroll, Colinen_US
dc.date.accessioned2012-09-06T00:05:59Zen_US
dc.date.accessioned2012-09-06T00:06:02Zen_US
dc.date.available2012-09-06T00:05:59Zen_US
dc.date.available2012-09-06T00:06:02Zen_US
dc.date.created2012-05en_US
dc.date.issued2012-09-05en_US
dc.date.submittedMay 2012en_US
dc.date.updated2012-09-06T00:06:02Zen_US
dc.description.abstractThe vector-valued coarea formula provides a relationship between the integral of the Jacobian of a map from high dimensions down to low dimensions with the integral over the measure of the fibers of this map. We explore minimizers of this functional, proving existence using both a variational approach and an approach with currents. Additionally, we consider what properties these minimizers will have and provide examples. Finally, this problem is considered in metric spaces, where a third existence proof is given.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationCarroll, Colin. "Minimizers of the vector-valued coarea formula." (2012) Diss., Rice University. <a href="https://hdl.handle.net/1911/64635">https://hdl.handle.net/1911/64635</a>.en_US
dc.identifier.slug123456789/ETD-2012-05-85en_US
dc.identifier.urihttps://hdl.handle.net/1911/64635en_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.subjectGeometric measure theoryen_US
dc.subjectCalculus of variationsen_US
dc.subjectPartial differential equationsen_US
dc.titleMinimizers of the vector-valued coarea formulaen_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
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
CARROLL-THESIS.pdf
Size:
2.51 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.61 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Rice University Theses and Dissertations