On Garabedian's method of solving the wave equation

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dc.contributor.advisorJones, Franken_US
dc.contributor.committeeMemberWells, R. O.en_US
dc.contributor.committeeMemberAnderson, Jamesen_US
dc.creatorOehrlein, Chrisen_US
dc.date.accessioned2014-08-08T22:00:28Zen_US
dc.date.available2014-08-08T22:00:28Zen_US
dc.date.issued1995en_US
dc.description.abstractIn this thesis, we shall reexamine and provide as clear an exposition as possible of a method presented by P. R. Garabedian which results in an integral formula representation of a solution to the wave equation. The method involves analytically extending a harmonic function of real arguments along a purely imaginary axis in complex space and establishing the validity of the standard integral formula for harmonic functions as a representation of a solution to the Wave equation when one of the arguments is purely imaginary. This is done in the odd dimensional case by integration by parts and an application of the residue theorem, and in the even dimensional case by computing bounds on the integrals.en_US
dc.format.extent30 ppen_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationOehrlein, Chris. "On Garabedian's method of solving the wave equation." (1995) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/76503">https://hdl.handle.net/1911/76503</a>.en_US
dc.identifier.digitalOehrleinCen_US
dc.identifier.urihttps://hdl.handle.net/1911/76503en_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.subjectMathematicsen_US
dc.titleOn Garabedian's method of solving the wave equationen_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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