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On eigensolutions of the one-speed neutron transport equation in plane geometry

Published online by Cambridge University Press:  17 February 2009

Nassar H. S. Haidar
Nassar H. S. Haidar
Affiliation:
Lebanese NCSR Nuclear Research Centre and Department of Mathematics, American University of Beirut, Lebanon.
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Abstract

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We revisit the singular eigensolution to the steady state one-speed transport equation for an isotropically scattering and multiplying heterogeneous slab. It is proved that this solution is a sum of Stieltjes integrals over the resolvent set of only the operator of multiplication by the angular variable.

Type
Research Article
Information
The ANZIAM Journal , Volume 32 , Issue 2 , October 1990 , pp. 223 - 230
Copyright
Copyright © Australian Mathematical Society 1990

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