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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Main Authors: | |
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Corporate Authors: | |
Published: |
Elsevier Science,
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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 |