Evolution operators generated by non‐densely defined operators

descriptionPublicationkeyboard_double_arrow_right Article 08 Aug 2005 English Publisher:WileyJournal:Mathematische Nachrichten, volume 278, pages 1,285-1,296 (issn: 0025-584X, eissn: 1522-2616,

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Authors: Oka, Hirokazu; Tanaka, Naoki;

doi: 10.1002/mana.200310307

Evolution operators generated by non‐densely defined operators

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Abstract

AbstractIn this paper it is shown that an evolution operator is generated by a family of closed linear operators whose common domain is not necessarily dense in the underlying Banach space, under the stability condition proposed by the second author from the viewpoint of finite difference approximations. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Related Organizations

Okayama University
Japan

Keywords

Linear differential equations in abstract spaces, One-parameter semigroups and linear evolution equations, evolution operator, finite difference approximation, stability condition

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