Stability of Stationary Transport Equations with Accretive Collision Operators
نویسندگان
چکیده
منابع مشابه
Stability of Stationary Transport Equations with Accretive Collision Operators
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...
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We study the regularization methods for solving equations with arbitrary accretive operators. We establish the strong convergence of these methods and their stability with respect to perturbations of operators and constraint sets in Banach spaces. Our research is motivated by the fact that the fixed point problems with nonexpansive mappings are namely reduced to such equations. Other important ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2000
ISSN: 0022-1236
DOI: 10.1006/jfan.2000.3587