Extension theorems for solutions to over-determined systems of partial differential equations

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dc.contributor.advisorWells, Raymond O., Jr.
dc.creatorKrueger, Joe Elgin
dc.date.accessioned2016-04-22T21:58:47Z
dc.date.available2016-04-22T21:58:47Z
dc.date.issued1966
dc.description.abstractEhrenpreis has shown that, under suitable conditions, an infinitely differentiable solution to an overdetermined system of linear partial differentiable operators with constant coefficients has an extension across the bounded part of the complement of an annular region. It it shown in this thesis that a similar result holds for distribution solutions. Necessary and sufficient conditions for such extension are discussed and several theorems are also given on the extension problem for solutions to one differential operator.
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent19 ppen_US
dc.identifier.callnoThesis Math. 1966 Kruegeren_US
dc.identifier.citationKrueger, Joe Elgin. "Extension theorems for solutions to over-determined systems of partial differential equations." (1966) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/89863">https://hdl.handle.net/1911/89863</a>.
dc.identifier.digitalRICE0897en_US
dc.identifier.urihttps://hdl.handle.net/1911/89863
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.titleExtension theorems for solutions to over-determined systems of partial differential equations
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematics
thesis.degree.disciplineNatural Sciences
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Arts
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