Nonconvexity and compact containment of mean value sets for second order uniformly elliptic operators in divergence form

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dc.contributor.author Armstrong, Niles
dc.date.accessioned 2019-04-18T21:23:36Z
dc.date.available 2019-04-18T21:23:36Z
dc.date.issued 2019-05-01
dc.identifier.uri http://hdl.handle.net/2097/39621
dc.description.abstract The mean value theorem for harmonic functions has historically been an important and powerful result. As such, a generalization of this theorem that was stated by Caffarelli in 1998 and later proved by Blank-Hao in 2015 is of immediate interest. However, in order to make more use of this new general mean value theorem, more information about the mean value sets that appear in the theorem is needed. We present here a few new results regarding properties of such mean value sets. en_US
dc.language.iso en_US en_US
dc.subject Mean Value Sets en_US
dc.subject Mean Value Theorem en_US
dc.title Nonconvexity and compact containment of mean value sets for second order uniformly elliptic operators in divergence form en_US
dc.type Dissertation en_US
dc.description.degree Doctor of Philosophy en_US
dc.description.level Doctoral en_US
dc.description.department Department of Mathematics en_US
dc.description.advisor Ivan Blank en_US
dc.date.published 2019 en_US
dc.date.graduationmonth May en_US


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