Nonlinear Evolution Operators And Semigroups

Author : Nicolae H. Pavel
Publisher : Springer
Page : 292 pages
File Size : 43,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540471868

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Nonlinear Evolution Operators and Semigroups by Nicolae H. Pavel Pdf

This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the semigroup approach. This theory is not available otherwise in the self-contained form provided by these Notes and moreover a considerable part of the results, proofs and methods are not to be found in other books. The exponential formula of Crandall and Liggett, some simple estimates due to Kobayashi and others, the characterization of compact semigroups due to Brézis, the proof of a fundamental property due to Ursescu and the author and some applications to PDE are of particular interest. Assuming only basic knowledge of functional analysis, the book will be of interest to researchers and graduate students in nonlinear analysis and PDE, and to mathematical physicists.

Author : Felipe Cano Torres,Nicolae H. Pavel
Publisher : Unknown
Page : 194 pages
File Size : 44,8 Mb
Release : 1964
Category : Differential equations
ISBN : 0387179445

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Nonlinear Evolution Operators and Semigroups by Felipe Cano Torres,Nicolae H. Pavel Pdf

Author : Nicolae H. Pavel
Publisher : Unknown
Page : 296 pages
File Size : 49,9 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662199432

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Nonlinear Evolution Operators and Semigroups by Nicolae H. Pavel Pdf

Author : M. G. Crandall,WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER.
Publisher : Unknown
Page : 53 pages
File Size : 43,5 Mb
Release : 1984
Category : Electronic
ISBN : OCLC:227629163

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Nonlinear Semigroups and Evolution Governed by Accretive Operators by M. G. Crandall,WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER. Pdf

This is a review paper which outlines the main points of the theory of nonlinear semigroups and evolution governed by accretive operators. The subject is now rather mature, so most of the principal ideas and results are not new. However, the presentation here is organized differently from that in other sources and does touch upon recent results. An attempt has been made to make this paper a pleasant route to a certain view of the subject. This manuscript represents the author's contribution to the proceedings of the Symposium on Nonlinear Functional Analysis and Applications held in Berkely in July 1983. (Author).

Author : Philippe Clement
Publisher : CRC Press
Page : 544 pages
File Size : 53,7 Mb
Release : 2023-05-31
Category : Mathematics
ISBN : 9781000946529

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Semigroup Theory and Evolution Equations by Philippe Clement Pdf

Proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept. 1989, Delft University of Technology, the Netherlands. Papers deal with recent developments in semigroup theory (e.g., positive, dual, integrated), and nonlinear evolution equations (e

Author : Isao Miyadera
Publisher : American Mathematical Soc.
Page : 246 pages
File Size : 43,9 Mb
Release : 2024-05-04
Category : Mathematics
ISBN : 0821886819

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Nonlinear Semigroups by Isao Miyadera Pdf

This book presents a systematic exposition of the general theory of nonlinear contraction semigroups in Banach spaces and is aimed at students and researchers in science and engineering as well as in mathematics. Suitable for use as a textbook in graduate courses and seminars, this self-contained book is accessible to those with only a basic knowledge of functional analysis. After preprequisites presented in the first chapter, Miyadera covers the basic properties of dissipative operators and nonlinear contraction semigroups in Banach spaces. The generation of nonlinear contraction semigroups, the Komura theorem, and the Crandall-Liggett theorem are explored, and there is a treatment of the convergence of difference approximation of Cauchy problems for ????- dissipative operators and the Kobayashi generation theorem of nonlinear semigroups. Nonlinear Semigroups concludes with applications to nonlinear evolution equations and to first order quasilinear equations.

Author : Philippe Clement
Publisher : CRC Press
Page : 550 pages
File Size : 53,5 Mb
Release : 1991-06-24
Category : Mathematics
ISBN : 0824785452

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Semigroup Theory and Evolution Equations by Philippe Clement Pdf

Proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept. 1989, Delft University of Technology, the Netherlands. Papers deal with recent developments in semigroup theory (e.g., positive, dual, integrated), and nonlinear evolution equations (e

Author : A. Belleni-Morante,A. C. McBride
Publisher : John Wiley & Sons
Page : 298 pages
File Size : 51,5 Mb
Release : 1998-12-04
Category : Mathematics
ISBN : STANFORD:36105023416154

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Applied Nonlinear Semigroups by A. Belleni-Morante,A. C. McBride Pdf

Mathematical Methods in Practice Advisory Editors Bruno Brosowski Universität Frankfurt Germany Gary F. Roach University of Strathclyde UK Volume 3 Applied Nonlinear Semigroups A. Belleni-Morante University of Florence, Italy A. C. McBride University of Strathclyde, UK In many disciplines such as physics, chemistry, biology, meteorology, electronics and economics, it is increasingly necessary to develop mathematical models that describe how the state of a system evolves with time. A useful way of studying such a model is to recast the appropriate evolution equation as an Abstract Cauchy Problem (ACP), which can then be analysed via the powerful theory of semigroups of operators. The user-friendly presentation in the book is centred on Abstract Cauchy Problems which model various processes such as particle transport,diffusion and combustion, all of which are examples of systems which evolve with time. The authors provide an introduction to the requisite concepts from functional analysis before moving on to the theory of semigroups of linear operators and their application to linear ACPs. These ideas are then applied to semilinear problems and fully nonlinear problems and it is shown how results from the linear theory can be extended. Finally, a variety of applications of practical interest are included. By leading a non-expert to the solutions of problems involving evolution equations via the theory of semigroups of operators, both linear and nonlinear, the book provides an accessible introduction to the treatment of the subject. The reader is assumed to have a basic knowledge of real analysis and vector spaces. M.Sc. and graduate students of functional analysis, applied mathematics, physics and engineering will find this an invaluable introduction to the subject.

Author : Amnon Pazy
Publisher : Springer Science & Business Media
Page : 289 pages
File Size : 46,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461255611

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Semigroups of Linear Operators and Applications to Partial Differential Equations by Amnon Pazy Pdf

Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations. This book presents that theory and its basic applications, and the last two chapters give a connected account of the applications to partial differential equations.

Author : Carmen Chicone,Yuri Latushkin
Publisher : American Mathematical Soc.
Page : 375 pages
File Size : 41,5 Mb
Release : 1999
Category : Differentiable dynamical systems
ISBN : 9780821811856

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Evolution Semigroups in Dynamical Systems and Differential Equations by Carmen Chicone,Yuri Latushkin Pdf

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.

Author : Mieczyslaw Altman
Publisher : Unknown
Page : 320 pages
File Size : 44,5 Mb
Release : 1986
Category : Mathematics
ISBN : UOM:39015015693446

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A Unified Theory of Nonlinear Operator and Evolution Equations with Applications by Mieczyslaw Altman Pdf

Author : Jacek Banasiak,Adam Bobrowski,Mirosław Lachowicz
Publisher : Springer
Page : 337 pages
File Size : 40,8 Mb
Release : 2014-11-20
Category : Mathematics
ISBN : 9783319121451

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Semigroups of Operators -Theory and Applications by Jacek Banasiak,Adam Bobrowski,Mirosław Lachowicz Pdf

Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while the fundamental generation theorem of Hille and Yosida dates back to the forties. The theory was, from the very beginning, designed as a universal language for partial differential equations and stochastic processes, but at the same time it started to live as an independent branch of operator theory. Nowadays, it still has the same distinctive flavour: it develops rapidly by posing new ‘internal’ questions and in answering them, discovering new methods that can be used in applications. On the other hand, it is influenced by questions from PDEs and stochastic processes as well as from applied sciences such as mathematical biology and optimal control, and thus it continually gathers a new momentum. Researchers and postgraduate students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimization and optimal control will find this volume useful.

Author : Belleni-morante Aldo
Publisher : World Scientific
Page : 180 pages
File Size : 54,7 Mb
Release : 1994-05-18
Category : Mathematics
ISBN : 9789813104570

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A Concise Guide To Semigroups And Evolution Equations by Belleni-morante Aldo Pdf

This book is a simple and concise introduction to the theory of semigroups and evolution equations, both in the linear and in the semilinear case. The subject is presented by a discussion of two standard boundary value problems (from particle transport theory and from population theory), and by showing how such problems can be rewritten as evolution problems in suitable Banach spaces.Each section of the book is completed by some notes, where the relevant notions of functional analysis are explained. Some other definitions and theorems of functional analysis are discussed in the Appendices (so that the only prerequisites to read the book are classical differential and integral calculus).

Author : Songmu Zheng
Publisher : CRC Press
Page : 304 pages
File Size : 44,5 Mb
Release : 2004-07-08
Category : Mathematics
ISBN : 9780203492222

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Nonlinear Evolution Equations by Songmu Zheng Pdf

Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator

Author : Olga A. Ladyzhenskaya
Publisher : Cambridge University Press
Page : 97 pages
File Size : 51,5 Mb
Release : 2022-06-09
Category : Mathematics
ISBN : 9781009229821

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Attractors for Semigroups and Evolution Equations by Olga A. Ladyzhenskaya Pdf

First published 1992; Re-issued 2008; Reprinted with Introduction 2022.