Show simple item record

dc.contributor.advisor Hardt, Robert M.
dc.creatorCarroll, Colin
dc.date.accessioned 2012-09-06T00:05:59Z
dc.date.accessioned 2012-09-06T00:06:02Z
dc.date.available 2012-09-06T00:05:59Z
dc.date.available 2012-09-06T00:06:02Z
dc.date.created 2012-05
dc.date.issued 2012-09-05
dc.date.submitted May 2012
dc.identifier.citation Carroll, Colin. "Minimizers of the vector-valued coarea formula." (2012) Diss., Rice University. https://hdl.handle.net/1911/64635.
dc.identifier.urihttps://hdl.handle.net/1911/64635
dc.description.abstract The 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.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectGeometric measure theory
Calculus of variations
Partial differential equations
dc.title Minimizers of the vector-valued coarea formula
dc.type Thesis
dc.contributor.committeeMember Wolf, Michael
dc.contributor.committeeMember Cox, Steven J.
dc.date.updated 2012-09-06T00:06:02Z
dc.identifier.slug 123456789/ETD-2012-05-85
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record