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Generation of linear evolution operators
Authors:Naoki Tanaka
Affiliation:Department of Mathematics, Faculty of Science, Okayama University, Okayama 700-8530, Japan
Abstract:This paper is devoted to the problem of generation of evolution operators associated with linear evolution equations in a general Banach space. The stability condition is proposed from the viewpoint of finite difference approximations. It is shown that linear evolution operators can be generated even if the stability condition given here is assumed instead of Kato's stability condition.

Keywords:Linear evolution operator   stability condition   intertwining condition
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