C -semigroups and applications /

The book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications. There are several specialized, but quite interesting, topics which didn't find...

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Bibliographic Details
Main Authors: Vrabie, I. I. Ioan I., 1951
Corporate Authors: Elsevier Science & Technology
Published: Elsevier Science,
Publisher Address: Amsterdam :
Publication Dates: 2003.
Literature type: eBook
Language: English
Romanian
Edition: First edition.
Series: North-Holland mathematics studies, v. 191
Subjects:
Online Access: http://www.sciencedirect.com/science/bookseries/03040208/191
Summary: The book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications. There are several specialized, but quite interesting, topics which didn't find their place into a monograph till now, mainly because they are very new. So, the book, although containing the main parts of the classical theory of C<INF>o</INF>-semigroups, as the Hille-Yosida theory, includes also several very new results, as for instance those referring to various classes of semig
Carrier Form: 1 online resource (xii, 373 pages).
Bibliography: Includes bibliographical references (pages 361-367) and index.
ISBN: 9780444512888
0444512888
9780080530048
0080530044
Index Number: QA329
CLC: O177
Contents: Cover -- Contents -- Preface -- Chapter 1. Preliminaries -- 1.1. Vector-Valued Measurable Functions -- 1.2. The Bochner Integral -- 1.3. Basic Function Spaces -- 1.4. Functions of Bounded Variation -- 1.5. Sobolev Spaces -- 1.6. Unbounded Linear Operators -- 1.7. Elements of Spectral Analysis -- 1.8. Functional Calculus for Bounded Operators -- 1.9. Functional Calculus for Unbounded Operators -- Problems -- Notes -- Chapter 2. Semigroups of Linear Operators -- 2.1. Uniformly Continuous Semigroups -- 2.2. Generators of Uniformly Continuous Semigroups -- 2.3. C0-Semigroups. General Properties