A perturbation theorem is derived for bounded analytic bisemigroups on Banach spaces with the compact approximation property. The technique utilizes an abstract formulation of the Bochner-Phillips Theorem. The perturbation theorem is then applied to study uniqueness and existence of solution of a boundary value problem in kinetic theory.
Perturbation analysis of analytic bisemigroups and applications to linear transport theory
VAN DER MEE, CORNELIS VICTOR MARIA
1988-01-01
Abstract
A perturbation theorem is derived for bounded analytic bisemigroups on Banach spaces with the compact approximation property. The technique utilizes an abstract formulation of the Bochner-Phillips Theorem. The perturbation theorem is then applied to study uniqueness and existence of solution of a boundary value problem in kinetic theory.
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