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Item Details
| Title:
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EVOLUTION SEMIGROUPS IN DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS
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| By: |
Carmen Chicone, Yuri Latushin |
| Format: |
Hardback |
| List price:
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£113.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821811851 |
| ISBN 13: |
9780821811856 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
1 January, 1999 |
| Series: |
Mathematical Surveys and Monographs No. 70 |
| Pages: |
361 |
| Description: |
Focuses on the spectral theory for evolution operators and evolution semigroups, a subject tracing its origins to the classical results of J Mather on hyperbolic dynamical systems and J Howland on nonautonomous Cauchy problems. This book includes a collection of examples from different areas of analysis, PDEs, and dynamical systems. |
| Synopsis: |
The main theme of the book is the spectral theory for evolution operators and evolution semigroups, a subject tracing its origins to the classical results of J. Mather on hyperbolic dynamical systems and J. Howland on nonautonomous Cauchy problems. The authors use a wide range of methods and offer a unique presentation. The authors give a unifying approach for a study of infinite-dimensional nonautonomous problems, which is based on the consistent use of evolution semigroups. This unifying idea connects various questions in stability of semigroups, infinite-dimensional hyperbolic linear skew-product flows, translation Banach algebras, transfer operators, stability radii in control theory, Lyapunov exponents, magneto-dynamics and hydro-dynamics.Thus the book is much broader in scope than existing books on asymptotic behavior of semigroups. Included is a solid collection of examples from different areas of analysis, PDEs, and dynamical systems.This is the first monograph where the spectral theory of infinite dimensional linear skew-product flows is described together with its connection to the multiplicative ergodic theorem; the same technique is used to study evolution semigroups, kinematic dynamos, and Ruelle operators; the theory of stability radii, an important concept in control theory, is also presented. Examples are included and non-traditional applications are provided. |
| Illustrations: |
bibliograph, notes, index |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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