Evolution Semigroups in Dynamical Systems and Differential Equations is popular PDF and ePub book, written by Carmen Chicone in 1999, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Evolution Semigroups in Dynamical Systems and Differential Equations can be Read Online from any device for your convenience.
Evolution Semigroups in Dynamical Systems and Differential Equations Book PDF Summary
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.
Detail Book of Evolution Semigroups in Dynamical Systems and Differential Equations PDF
- Author : Carmen Chicone
- Release : 30 September 1999
- Publisher : American Mathematical Soc.
- ISBN : 9780821811856
- Genre : Mathematics
- Total Page : 375 pages
- Language : English
- PDF File Size : 9,5 Mb
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