The obstacle problem for second order elliptic operators in nondivergence form

K-REx Repository

Show simple item record

dc.contributor.author Teka, Kubrom Hisho
dc.date.accessioned 2012-07-17T13:33:47Z
dc.date.available 2012-07-17T13:33:47Z
dc.date.issued 2012-07-17
dc.identifier.uri http://hdl.handle.net/2097/14035
dc.description.abstract We study the obstacle problem with an elliptic operator in nondivergence form with principal coefficients in VMO. We develop all of the basic theory of existence, uniqueness, optimal regularity, and nondegeneracy of the solutions. These results, in turn, allow us to begin the study of the regularity of the free boundary, and we show existence of blowup limits, a basic measure stability result, and a measure-theoretic version of the Caffarelli alternative proven in Caffarelli's 1977 paper ``The regularity of free boundaries in higher dimensions." Finally, we show that blowup limits are in general not unique at free boundary points. en_US
dc.language.iso en_US en_US
dc.publisher Kansas State University en
dc.subject Partial differential equations en_US
dc.subject Free boundary problems en_US
dc.subject Obstacle problem en_US
dc.title The obstacle problem for second order elliptic operators in nondivergence 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.subject.umi Mathematics (0405) en_US
dc.date.published 2012 en_US
dc.date.graduationmonth August en_US

Files in this item


Files Size Format View

This item appears in the following Collection(s)

Show simple item record