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

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dc.contributor.advisorWells, Raymond O., Jr.en_US
dc.creatorKrueger, Joe Elginen_US
dc.date.accessioned2016-04-22T21:58:47Zen_US
dc.date.available2016-04-22T21:58:47Zen_US
dc.date.issued1966en_US
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.en_US
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>.en_US
dc.identifier.digitalRICE0897en_US
dc.identifier.urihttps://hdl.handle.net/1911/89863en_US
dc.language.isoengen_US
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.en_US
dc.titleExtension theorems for solutions to over-determined systems of partial differential equationsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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