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Stability of Stationary Transport Equations with Accretive Collision Operators

✍ Scribed by Cornelis V.M. van der Mee; André C.M. Ran; Leiba Rodman

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
256 KB
Volume
174
Category
Article
ISSN
0022-1236

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✦ Synopsis

In this paper we consider transport equations with accretive collision operators. We characterize when the equation has a unique solution and show that in this case the solution is stable under small perturbations of the collision operator and the initial value. In one case in which there is more than one solution we show how to make a special selection of a solution, which is then stable again under small perturbations of both the collision operator and the initial value. The results obtained here parallel those obtained earlier for the case where the collision operator is positive semidefinite.

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