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dc.contributor.advisorMitrea, Mariuseng
dc.contributor.authorSchmutzler, Brock Alleneng
dc.date.issued2016eng
dc.date.submitted2016 Springeng
dc.description.abstract[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] This dissertation is a treatise on the theory of Calderon-Zygmund type singular integral operators capable of handling boundary layer potentials arising naturally in the treatment of elliptic boundary value problems on rough subdomains of Riemannian manifolds, where the nature of the underlying domain is very general, and is best described in the language of geometric measure theory. The resulting theory is a blend of harmonic analysis, differential geometry, and geometric measure theory which includes results pertaining to nontangential boundedness and pointwise traces (jump formulas), square-function and Carleson measure estimates, as well as compactness criteria on Lebesgue and Sobolev spaces.eng
dc.identifier.urihttps://hdl.handle.net/10355/60395
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcollectionUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsAccess to files is limited to the University of Missouri--Columbia.eng
dc.titleCalderon-Zygmund theory for singular integral operators associated with second-order elliptic partial differential systems on rough subdomains of Riemannian manifoldseng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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