One-parameter semigroups for linear evolution equations / Klaus-Jochen Engel, Rainer Nagel ; with contributions by S. Brendle, M. Campiti, T. Hahn... [et al.]
Type de document : MonographieCollection : Graduate texts in mathematics, 194Langue : anglais.Pays: Etats Unis.Éditeur : New York : Springer, cop. 2000Description : 1 vol. (XXI-586 p.) : fig. ; 25 cmISBN: 0387984631.ISSN: 0072-5285.Bibliographie : Bibliogr. p. 555-576. Index.Sujet MSC : 47D06, Operator theory - Groups and semigroups of linear operators, their generalizations and applications, One-parameter semigroups and linear evolution equations47-02, Research exposition (monographs, survey articles) pertaining to operator theory
34K30, Ordinary differential equations, Functional-differential equations in abstract spaces
34K35, Ordinary differential equations, Control problems for functional-differential equations
35K30, PDEs - Parabolic equations and parabolic systems, Initial value problems for higher-order parabolic equationsEn-ligne : Springerlink
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Bibliogr. p. 555-576. Index
This book gives an up-to-date account of the theory of strongly continuous one-parameter semigroups of linear operators. It includes a systematic discussion of the spectral theory and the long-term behavior of such semigroups. A special feature of the text is an unusually wide range of applications, e.g., to ordinary and partial differential operators, delay and Volterra equations and to control theory, and an emphasis on philosophical motivation and the historical background. The book is written for students, but should also be of value for researchers interested in this field. (Source : Springer)
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