Extension of Case formulas to Lp. Application to half and full space problems

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dc.contributorVirginia Techen
dc.contributor.authorLarsen, E. W.en
dc.contributor.authorSancaktar, Selimen
dc.contributor.authorZweifel, Paul F.en
dc.contributor.departmentPhysicsen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:19Zen
dc.date.available2014-04-09T18:12:19Zen
dc.date.issued1975-05en
dc.description.abstractThe singular eigenfunction expansions originally applied by Case to solutions of the transport equation are extended from the space of Hölder‐continuous functions to the function spaces X p = {f‖μf (μ) ‐ L p }, where the expansions are now to be interpreted in the X p norm. The spectral family for the transport operator is then obtained explicitly, and is used to solve transport problems with X p sources and incident distributions.en
dc.description.sponsorshipNSF GK-35903en
dc.description.sponsorshipAir Force Office of Scientific Research AFOSR-71_2013en
dc.identifier.citationLarsen, E. W.; Sancaktar, S.; Zweifel, P. F., "Extension of Case formulas to L<sub>p</sub>. Application to half and full space problems," J. Math. Phys. 16, 1117 (1975); http://dx.doi.org/10.1063/1.522641en
dc.identifier.doihttps://doi.org/10.1063/1.522641en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47044en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/16/5/10.1063/1.522641en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleExtension of Case formulas to L<sub>p</sub>. Application to half and full space problemsen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden

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