Extension of Case formulas to Lp. Application to half and full space problems
| dc.contributor | Virginia Tech | en |
| dc.contributor.author | Larsen, E. W. | en |
| dc.contributor.author | Sancaktar, Selim | en |
| dc.contributor.author | Zweifel, Paul F. | en |
| dc.contributor.department | Physics | en |
| dc.date.accessed | 2014-03-20 | en |
| dc.date.accessioned | 2014-04-09T18:12:19Z | en |
| dc.date.available | 2014-04-09T18:12:19Z | en |
| dc.date.issued | 1975-05 | en |
| dc.description.abstract | The 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.sponsorship | NSF GK-35903 | en |
| dc.description.sponsorship | Air Force Office of Scientific Research AFOSR-71_2013 | en |
| dc.identifier.citation | Larsen, 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/10.1063/1.522641 | en |
| dc.identifier.doi | https://doi.org/10.1063/1.522641 | en |
| dc.identifier.issn | 0022-2488 | en |
| dc.identifier.uri | http://hdl.handle.net/10919/47044 | en |
| dc.identifier.url | http://scitation.aip.org/content/aip/journal/jmp/16/5/10.1063/1.522641 | en |
| dc.language.iso | en_US | en |
| dc.publisher | AIP Publishing | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.title | Extension of Case formulas to L<sub>p</sub>. Application to half and full space problems | en |
| dc.title.serial | Journal of Mathematical Physics | en |
| dc.type | Article - Refereed | en |
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