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Transport Theory and Statistical Physics Volume 17, 1988 - Issue 1
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Original Articles

Linear half space transport eqijations with accretive, invertible collision operators

Alexandcr H. Ganchev Department of Mathematics, Center for Transport Theory and Mathematical Physics Virginia Polytechnic Institute and State University, Blacksburg, Virginia, 24061; Bulgarian Academy of Sciences, INRNE, Blvd. Lenin 72, Sofia, 1784, Bulgaria
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William Greenberg Department of Mathematics, Center for Transport Theory and Mathematical Physics Virginia Polytechnic Institute and State University, Blacksburg, Virginia, 24061
Pages 93-105 | Received 25 Oct 1985, Published online: 13 Sep 2006
 
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Abstract

The one dimensional, linear, half space, abstract transport equation with an accretive, invertible collision operator is shown to be uniquely solvable. An example from multigroup neutron transport is given.

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