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Generation of linear evolution operators |
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| 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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