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dc.contributor.advisorMitrea, Mariuseng
dc.contributor.authorBarb, Simona, 1967-eng
dc.date.issued2009eng
dc.date.submitted2009 Summereng
dc.descriptionTitle from PDF of title page (University of Missouri--Columbia, viewed on September 13, 2010).eng
dc.descriptionThe entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.eng
dc.descriptionDissertation advisor: Dr. Marius Mitrea.eng
dc.descriptionVita.eng
dc.descriptionIncludes bibliographical references.eng
dc.descriptionPh. D. University of Missouri--Columbia 2009.eng
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Mathematics.eng
dc.description.abstractThe main aim of the current thesis is to investigate the mathematical tools and methods used to study problems which bridge between analysis and geometry. Such an undertaking is particularly useful in situations in which the geometry is variable, such as: · the theory of minimal surfaces, in differential geometry · shape analysis and optimization · engineering modeling · (elasticity phenomena for beams, plates, shells, etc) · free or moving boundary problems · certain variational problems in partial differential equations A common feature of the above circumstances is that the underlying geometry is the variable one wishes to study. From a historical point of view, the basic principles and methods employed in the treatment of such problems originated in rather distinct fields of applied and theoretical mathematics, and have traditionally evolved on distinct, parallel paths. Our ultimate goal is to provide alternative, conceptually simpler approaches to some of the basic results in these fields.eng
dc.format.extentxi, 230 pageseng
dc.identifier.oclc695595977eng
dc.identifier.urihttps://hdl.handle.net/10355/9670
dc.identifier.urihttps://doi.org/10.32469/10355/9670eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. Graduate School. Theses and Dissertations. Dissertations. 2009 Dissertationseng
dc.subject.lcshApplied mathematicseng
dc.subject.lcshGeometric analysiseng
dc.subject.lcshBoundary value problemseng
dc.subject.lcshMinimal surfaceseng
dc.subject.lcshContinuum mechanicseng
dc.titleTopics in geometric analysis with applications to partial differential equationseng
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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