Analytic Semigroups and Optimal Regularity in Parabolic Problems (Progress in Nonlinear Differential Equations and Their Applications)

Book Description

The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems.
Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study several other problems, especially fully nonlinear ones.
Owing to the new unified approach chosen, known theorems are presented from a novel perspective and new results are derived.
The book is self-contained. It is addressed to PhD students and researchers interested in abstract evolution equations and in parabolic partial differential equations and systems. It gives a comprehensive overview on the present state of the art in the field, teaching at the same time how to exploit its basic techniques.

Applied Nonlinear Semigroups: An Introduction

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Applied Nonlinear Semigroups: An Introduction
A. Belleni-Morante , and A. C. McBride
Manufacturer: Wiley
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471978671

Book Description

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.

The Asymptotic Behaviour of Semigroups of Linear Operators (Operator Theory: Advances and Applications)

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The Asymptotic Behaviour of Semigroups of Linear Operators (Operator Theory: Advances and Applications)
Jan van Neerven
Manufacturer: Birkhauser
ProductGroup: Book
Binding: Hardcover

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ASIN: 3764354550

Book Description

This book presents a systematic account of the theory of asymptotic behaviour of semigroups of linear operators acting in a Banach space. The focus is on the relationship between asymptotic behaviour of the semigroup and spectral properties of its infinitesimal generator. The most recent developments in the field are included, such as the Arendt-Batty-Lyubich-Vu theorem, the spectral mapp- ing theorem of Latushkin and Montgomery-Smith, Weis's theorem on stability of positive semigroup in Lp-spaces, the stability theorem for semigroups whose resolvent is bounded in a half-plane, and a systematic theory of individual stability. Addressed to researchers and graduate students with interest in the fields of operator semigroups and evolution equations, this book is self-contained and provides complete proofs.

A Concise Guide to Semigroups and Evolution Equations (Series on Advances in Mathematics for Applied Sciences)

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A Concise Guide to Semigroups and Evolution Equations (Series on Advances in Mathematics for Applied Sciences)
Aldo Belleni-Morante
Manufacturer: World Scientific Pub Co Inc
ProductGroup: Book
Binding: Hardcover

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Evolution Equations Semigroups and Functional Analysis: In Memory of Brunello Terreni (Progress in Nonlinear Differential Equations and Their Applications)

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Evolution Equations Semigroups and Functional Analysis: In Memory of Brunello Terreni (Progress in Nonlinear Differential Equations and Their Applications)

Manufacturer: Birkhäuser Basel
ProductGroup: Book
Binding: Hardcover

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ASIN: 3764367911

Book Description

Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi

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

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Very simple to understand

Evolution Semigroups in Dynamical Systems and Differential Equations (Mathematical Surveys and Monographs)
Carmen Chicone , and Yuri Latushkin
Manufacturer: American Mathematical Society
ProductGroup: Book
Binding: Hardcover

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Book Description

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.

Customer Reviews:

Very simple to understand.......2001-10-30

This book simplifies many of the difficult concepts in dynamical systems. Easy to read, and wonderful examples to enhance the learning.

Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory (Monographs in Mathematics)

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Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory (Monographs in Mathematics)
Herbert Amann
Manufacturer: Birkhäuser Basel
ProductGroup: Book
Binding: Hardcover

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ASIN: 3764351144

Book Description

This treatise gives an exposition of the functional analytical approach to quasilinear parabolic evolution equations, developed to a large extent by the author during the last 10 years. This approach is based on the theory of linear nonautonomous parabolic evolution equations and on interpolation-extrapolation techniques. It is the only general method that applies to noncoercive quasilinear parabolic systems under nonlinear boundary conditions.

The present first volume is devoted to a detailed study of nonautonomous linear parabolic evolution equations in general Banach spaces. It contains a careful exposition of the constant domain case, leading to some improvements of the classical Sobolevskii-Tanabe results. It also includes recent results for equations possessing constant interpolation spaces. In addition, systematic presentations of the theory of maximal regularity in spaces of continuous and Hölder continuous functions, and in Lebesgue spaces, are given. It includes related recent theorems in the field of harmonic analysis in Banach spaces and on operators possessing bounded imaginary powers. Lastly, there is a complete presentation of the technique of interpolation-extrapolation spaces and of evolution equations in those spaces, containing many new results.

One-Parameter Semigroups for Linear Evolution Equations (Graduate Texts in Mathematics)

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Outstanding Title
Engel et al.'s One Parameter Semigroups Book

One-Parameter Semigroups for Linear Evolution Equations (Graduate Texts in Mathematics)
Klaus-Jochen Engel , and Rainer Nagel
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387984631

Book Description

This book gives an up-to-date account of the theory of strongly continuous one-parameter semigroups of linear operators. It includes a systematic discussion of the spectral theory and the long-term behavior of such semigroups. A special feature of the text is an unusually wide range of applications, e.g., to ordinary and partial differential operators, delay and Volterra equations and to control theory, and an emphasis on philosophical motivation and the historical background. The book is written for students, but should also be of value for researchers interested in this field.

Customer Reviews:

Outstanding Title.......2002-09-01

I guess that, besides the classic references from Pazy and Jerome Goldstein, this title outstands in its category. I've heard several words of criticism over Pazy's work due to the lack of applications and several laments over the fact that Goldstein's book is out of print. This book introduces the semigroup theory like no other: it doesn't forget the historic and philosophical aspect of subject and it's full filled with applications and deep beauty. Congrats to the authors and also to the customers that decide to buy this title, may it be PDE or Dinamic Systems, you'll be home free...

Engel et al.'s One Parameter Semigroups Book.......2000-03-29

Semigroups and Clifford algebras have become two of the main trends in mathematics and mathematical physics in the last 5 years. A researcher in either area cannot afford to be without major books and journal articles in these areas, and Engel et al.'s is the best that I have seen of recent semigroup books. Their book is a Graduate Text, but it actually presents many open questions and research ideas, as is usual for Springer and Springer-Verlag publications (and also Kluwer-Plenum and Cambridge University Press). Semigroups were familiar to those of us in probability for many years because of their Markov chain/process relationships, but the astonishing fact is that Engel et al. show that non-Markov applications and non-Hilbert space (in fact, general Banach space) applications and theorems abound. For those of us who are not too fond of Markov processes (like me), and who are also not too fond of Hilbert spaces (the usual space of Quantum Mechanics which went sour and had to be repaired by A. Bohm and still seems in bad need of repair), this is really good news. Another fascinating trend is in the direction of Positive Semigroups, which ties in with ordering results and inequalities (see my review of Clarke et al.). Positive semigroups have applications to transport and delay (differential) equations and semigroups have applications to control theory which means what it sounds like: physics-engineering control of satellites, rockets, robots, and God knows what else. I repeat my usual caution: if your background is mathematically deficient in these areas, hire a reputable consultant or tutor to translate the book into plain English more or less. If the person cannot translate in one session, look for another person, or quiz them on the phone first.

Semigroup Theory and Evolution Equations (Lecture Notes in Pure and Applied Mathematics)

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Semigroup Theory and Evolution Equations (Lecture Notes in Pure and Applied Mathematics)

Manufacturer: CRC
ProductGroup: Book
Binding: Paperback

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Book Description

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

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Semigroup Theory and Evolution Equations (Lecture Notes in Pure and Applied Mathematics)
Philippe Clement
Manufacturer: NY
ProductGroup: Book
Binding: Paperback
ASIN: B000MUGZZ2

Book Description

In The Glass Bees the celebrated German writer Ernst Jünger presents a disconcerting vision of the future. Zapparoni, a brilliant businessman, has turned his advanced understanding of technology and his strategic command of the information and entertainment industries into a discrete form of global domination. But Zapparoni is worried that the scientists he depends on might sell his secrets. He needs a chief of security, and Richard, a veteran and war hero, is ready for the job. However, when he arrives at the beautiful country compound that is Zapparoni's headquarters, he finds himself subjected to an unexpected ordeal. Soon he is led to question his past, his character, and even his senses....

Customer Reviews:

Interesting Prophecy.......2005-09-17

Ernst Junger died at the age of 102 in 1997. However interest in The Glass Bees (originally published in 1957) is more a credit to the book's prescience than its extraordinarily long-lived author. In the novel, the head of a multinational animation studio develops a new variety of movies using lifelike automatons indistinguishable from real actors. The glass bees of the title are his newest gizmos, as small as bees yet outperforming what they mimic, recreating and specializing themselves until their evolution races past their creators' control. More a meditation than a novel, this work airs the views of its narrator, a former cavalry officer obsessed with the ravages of modernity, specifically the way it makes our lives easier and more unpleasant. More ease, the old soldier says, has made us more prone to complain instead of less. While it's impossible to outline all the ideas in the officer's heady ruminations, they have a common theme: he was better off when his work was real.

Good- Not Essential Jünger.......2005-05-11

As a devoted reader of Ernst Jünger, I was slightly disappointed when I finished this book (key word: slightly). Of course, the prose is fantastic as always, and the story interesting, although I would say that compared to some of Jünger's early work, like "The Storm of Steel", "Das Abenteuerliche Herz" (The Adventurous Heart), and "Der Arbeiter" (The Worker), "The Glass Bees" falls short. For one, although in the latter stages the story sends chills down one's spine, the first 3/4 of the book are rather... well... boring. Please do not take me for one of those readers who enjoys Jünger's "war books" but disregards the rest, because I have actually always enjoyed his philosophical work (Der Arbeiter) more than his "war books" (The Storm of Steel). But I found that a great portion of this book is rather long-winded, and Jünger has a tendency to go off on a tangent about something which is relatively meaningless, or develop plotlines and characters which seem pointless in the end. At any rate, "The Glass Bees" is certainly a good read, and for anyone very interested in Jünger, highly recommended- but for those less devoted, I would say that this is non-essential Jünger, and should be read only after completing the rest of Jünger's vast opus.

No Pie in the Sky.......2005-04-05

Ernst Jünger wrote what he thought in a time when free thinking led to imprisonment. But how could the Nazi's lock up one of their greatest and most decorated war heroes?

The Glass Bees is short and to the point. Not a happy ending, but how could anyone who survived the horrors of two world wars write one?

Jünger anticipates the age of the computer generated films. Actors are replaced by simulacra that perform within artificially natural scenery.

For a fresh view point, read this book and be pleasantly surprised.

Top Ten ? Definitely in the Top 100 for the 20th Century.......2004-04-14

How do you even begin to do justice to a novel like this? I would imagine that this could very well be a polarizing novel. (Keep in mind my personal philosophy is largely derived from Rene Guenon, et al.) However, I don't think anyone could doubt the quality of the prose itself.

As stated, very little actually happens. Actually, the "action" herein is probably a mere tenth or so of the length, but don't be fooled - Junger will string you along for a few pages, and then hit you with a philosophical passage that begs reading and re-reading. This is a science fiction novel by technical definition, although there is little actual emphasis on the technology; it is presented more as an allegory for the modern age.

The plot is very simple. Captain Richard, an aging war veteran, is given a job interview by the "great Zapparoni" (who is sort of mixture between Walt Disney and Rupert Murdoch). Richard, despite having no short amount of noblisse oblige (nurtured in an earlier, more noble era) nevertheless has cultivated an identity based on failure, largely resulting from being out of step with the current age. He is a man caught between two worlds - he cannot bear to destroy himself even in lieu of the pointlessness of modern existence, yet is unwilling to sacrifice himself to the new technological gods, who demand little more than technical efficiency and blind obedience at the expense of human perfection.

When I was reading this novel, I was reminded of Spengler's introduction to _The Decline of the West_, in which he differentiated between "men of action" and "men of contemplation". Men of action, Spengler said, are the logical result of the particular era they live in (sadly, the figures of Bill Clinton and George W. Bush probably exemplify our own era.) Richard, on the other hand, is a man of contemplation, if perhaps not a great one. He paradoxically realizes that he is trapped in circumstances beyond his control while the "men of action" - who can do little but mirror the values of the modern age - do not stop even for a second to consider anything at all.

Richard knows that Zapparoni, who has built an empire based upon animatronic robots, is little more than the logical product of his age. Richard must come to terms with Zapparoni - who is less a figure than a representation of the modern industrial age. It is a world where "efficiency" and predictable order take precedence over any mere human interest, and "progress" is little more than the continual play of technological novelty.

Richard realizes that no reads Herodotus any more; he pontificates on the nature of the man who is infinitely adaptible. In a telling scene, a former horseman and comrade-in-arms is now a petty bureaucrat in the public transportation system of his city, and elicits little more than disdain for their old days in the army.

I won't give the conclusion away, but the end result isn't a happy one - and it will doubtlessly not sit well with those of us who simply "do what we have to do to get by" in lieu of overwhelming feelings of powerlessness and anomie that characterize the modern age (even as Americans possess the highest standard of living of any people in the history of planet.) This novel poses many questions: to what degree do we limit the possibility of human perfection by striving for technical perfection? Is it possible for the person inherently out of touch with the values of the modern age to find meaning in existence? And most importantly: do human values have any place in the modern era at all?

In the end, I believe Junger has created perhaps the most succinct testimony to modern spiritual death yet written.

A little surprise in store.......2002-09-11

When I imagined this book as I movie, I thought it would be like a futuristic movie set in the 1950's, with everything the same, the cars and clothes and hair, except for a few overdeveloped gadgets, a little bit like Minority Report. The gadgets are not attempts to master nature but very close imitations of nature, the Glass Bees of the title. They are unheimlich, to use a German word that I don't think Junger ever uses. The Zapparoni character reminded me more of Larry Ellison than Bill Gates, because Gates has a big house with lots of gadgets but Ellison transplanted an entire Japanese house and garden to America. Zapparoni shares the same Japanese perfectionism and fascination with miniatures. Junger also has some thoughts--very little happens in the book, which is almost a short story--on the connection between the perfection of technological means and dismemberment. Well worth reading.

Miller's Perfume Bottles (The Collector's Guide)

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An Informative Collectors Guide

Miller's Perfume Bottles (The Collector's Guide)
Madeleine Marsh , Linda Bee , and Lynda Brine
Manufacturer: Miller's Publications
ProductGroup: Book
Binding: Paperback

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ASIN: 1840000694

Book Description

Covering both noncommercial bottles, into which perfume was decanted, and commercial perfume bottles, sold complete with scent, this aimed-at-the-beginner guide explores the variety of styles available. It includes silver-topped Victorian examples; Lalique glass; designs by such names as Guerlain, Chanel and Avon; men’s aftershave bottles; and the unique avant-garde creations of Jean-Paul Gaultier.

Customer Reviews:

An Informative Collectors Guide.......2000-04-02

I found this little book very helpful with a wealth of information, on collecting all types of Perfume Bottles including non-commercials (scent bottles without perfume) as well as commercials (bottles sold with perfume). It covers the art of perfume bottle making & some history from ancient times thru todays avant-garde creations such as: Pomanders, Victorian Vinaigrettes, all types of materials that were used, some famous name commerical houses, novelities & minis just to name a few areas. Each area is covered with nice photo's of the period perfume bottle. The is also a nice chapter on collecting advice including what to collect, tips, care & cleaning. This would be a great book for those who want to start collecting perfume bottles or those who are already collectors. This book should be added to your Perfume or Vanity Items library.

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THE GLASS BEES

Manufacturer: Noonday Press
ProductGroup: Book
Binding: Paperback
ASIN: B000H264AG

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The Glass Bees
Ernst Juenger
Manufacturer: Noonday
ProductGroup: Book
Binding: Hardcover
ASIN: B000ILMYZA

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The Glass Bees
Ernst Juenger
Manufacturer: Noonday Press
ProductGroup: Book
Binding: Paperback
ASIN: B000WGL79U

Construction and use of a vacuum micro-leak detector for metal and glass containers

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Construction and use of a vacuum micro-leak detector for metal and glass containers
Gerald R Bee
Manufacturer: Research Laboratories, National Canners Association
ProductGroup: Book
Binding: Unknown Binding
ASIN: B000736KO0

The density of mixed lithium-borate and lithium-rubidium borate glasses related to atomic arrangements

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The density of mixed lithium-borate and lithium-rubidium borate glasses related to atomic arrangements
Bee Choo Liang
ProductGroup: Book
Binding: Unknown Binding
ASIN: B0007BJTWM

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The Glass Bees
Louise Bogan Ernst Juenger
Manufacturer: Noonday Pr
ProductGroup: Book
Binding: Paperback
ASIN: B000OXCIWQ

On a Honey Bee Drinking from a Glass of Wine and Drowned Therein (EARLY AMERICAN POETRY)

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On a Honey Bee Drinking from a Glass of Wine and Drowned Therein (EARLY AMERICAN POETRY)
Philip Frenau
Manufacturer: AREPRINT SERVICE
ProductGroup: Book
Binding: Paperback
ASIN: B000H4N08S

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