The determination of a coefficient in a parabolic equation cylindrical coordinates

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dc.contributor.advisorJones, Franken_US
dc.creatorGieszl, Louis Rogeren_US
dc.date.accessioned2016-04-22T21:58:31Zen_US
dc.date.available2016-04-22T21:58:31Zen_US
dc.date.issued1965en_US
dc.description.abstractB. F. Jones (Ph.D. Thesis, Rice University, 1961) proved the existence and uniqueness of a solution of a one space variable diffusion equation ut a(t) uxx , where a(t) is an unknown function of time. This article considers the analogous problem for a cylindrical region with symmetry with respect to 8 . In particular, we consider the system (separately for r>1 and r<1) We take the five theorems in Jones' paper as Properties a through e ; and, by taking the appropriate bounds on the function M, we show that L defined by (5) satisfies the five properties. Thus, (1) has a unique solution.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent54 ppen_US
dc.identifier.callnoThesis Math. 1965 Gieszlen_US
dc.identifier.citationGieszl, Louis Roger. "The determination of a coefficient in a parabolic equation cylindrical coordinates." (1965) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/89789">https://hdl.handle.net/1911/89789</a>.en_US
dc.identifier.digitalRICE0821en_US
dc.identifier.urihttps://hdl.handle.net/1911/89789en_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.titleThe determination of a coefficient in a parabolic equation cylindrical coordinatesen_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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