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Evolution Semigroups in Dynamical Systems and Differential Equations (Mathematical Surveys and Monographs) by Carmen Charles Chicone; Yuri Latushkin is a nonfiction available to read on EtoBox.

What is Evolution Semigroups in Dynamical Systems and Differential Equations (Mathematical Surveys and Monographs) about?

<p>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 semigrou

Who reads Evolution Semigroups in Dynamical Systems and Differential Equations (Mathematical Surveys and Monographs)?

Author

Carmen Charles Chicone; Yuri Latushkin

Publisher

American Mathematical Society

Published

1999

Language

EN

ISBN

9781470412975

Category

nonfiction

Subjects

Mathematics, Stem