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The Asymptotic Behaviour of Semigroups of Linear Operators, Jan van Neerven


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Автор: Jan van Neerven
Название:  The Asymptotic Behaviour of Semigroups of Linear Operators
ISBN: 9783034899444
Издательство: Springer
Классификация:
ISBN-10: 3034899440
Обложка/Формат: Paperback
Страницы: 241
Вес: 0.37 кг.
Дата издания: 01.10.2011
Серия: Operator Theory: Advances and Applications
Язык: English
Размер: 234 x 156 x 14
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Over the past ten years, the asymptotic theory of one-parameter semigroups of operators has witnessed an explosive development. A number oflong-standing open problems have recently been solved and the theory seems to have obtained a certain degree of maturity. These notes, based on a course delivered at the University of Tiibingen in the academic year 1994-1995, represent a first attempt to organize the available material, most of which exists only in the form of research papers. If A is a bounded linear operator on a complex Banach space X, then it is an easy consequence of the spectral mapping theorem exp(tO(A)) = O(exp(tA)), t E JR, and Gelfands formula for the spectral radius that the uniform growth bound of the wt family {exp(tA)h o, i. e. the infimum of all wE JR such that II exp(tA)II:::: Me for some constant M and all t 2: 0, is equal to the spectral bound s(A) = sup{Re A: A E O(A)} of A. This fact is known as Lyapunovs theorem. Its importance resides in the fact that the solutions of the initial value problem du(t) =A () dt u t, u(O) = x, are given by u(t) = exp(tA)x. Thus, Lyapunovs theorem implies that the expo- nential growth of the solutions of the initial value problem associated to a bounded operator A is determined by the location of the spectrum of A.


Topics in operator semigroups

Автор: Kantorovitz, Shmuel
Название: Topics in operator semigroups
ISBN: 081764931X ISBN-13(EAN): 9780817649319
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Part I deals with the Hille--Yosida and Lumer--Phillips characterizations of semigroup generators, the Trotter--Kato approximation theorem, Kato`s unified treatment of the exponential formula and the Trotter product formula, the Hille--Phillips perturbation theorem, and Stone`s representation of unitary semigroups.

Operator semigroups meet complex analysis, harmonic analysis and mathematical physics

Название: Operator semigroups meet complex analysis, harmonic analysis and mathematical physics
ISBN: 3319184938 ISBN-13(EAN): 9783319184937
Издательство: Springer
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Цена: 22359.00 р.
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Описание:

This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrodinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor.

The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern semigroup theory, harmonic analysis, complex analysis and mathematical physics, and to present the lively interactions between all of those areas and beyond. In addition, the meeting honored the sixtieth anniversary of Prof C. J. K. Batty, whose scientific achievements are an impressive illustration of the conference goal. These proceedings present contributions by prominent scientists at this international conference, which became a landmark event.

They will be a valuable and inspiring source of information for graduate students and established researchers.

Convergence of One-Parameter Operator Semigroups

Автор: Bobrowski
Название: Convergence of One-Parameter Operator Semigroups
ISBN: 1107137438 ISBN-13(EAN): 9781107137431
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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Описание: Written by a leading expert in the field, this book presents the classical theory of convergence of semigroups and then uses real examples to show how it can be applied to models of mathematical biology as well as other branches of mathematics.

Semigroups of Operators -Theory and Applications

Автор: Jacek Banasiak; Adam Bobrowski; Miros?aw Lachowicz
Название: Semigroups of Operators -Theory and Applications
ISBN: 3319121448 ISBN-13(EAN): 9783319121444
Издательство: Springer
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Цена: 19564.00 р.
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Описание: 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.

Semi-bounded Differential Operators, Contractive Semigroups and Beyond

Автор: Alberto Cialdea; Vladimir Maz`ya
Название: Semi-bounded Differential Operators, Contractive Semigroups and Beyond
ISBN: 3319045571 ISBN-13(EAN): 9783319045573
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This trail-blazing treatment of a new and emerging topic sets out the authors` own research into differing interpretations of the semi-boundedness of partial differential operators. It examines function spaces that include the Hilbert and Banach varieties.

Stability of Operators and Operator Semigroups

Автор: Tanja Eisner
Название: Stability of Operators and Operator Semigroups
ISBN: 3034803117 ISBN-13(EAN): 9783034803113
Издательство: Springer
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Цена: 16070.00 р.
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Описание: This book systematically studies the asymptotic behavior, in particular "stability" in some sense, for discrete and continuous linear dynamical systems on Banach spaces. Of special concern is convergence to an equilibrium regarding various topologies.

Semi-bounded Differential Operators, Contractive Semigroups and Beyond

Автор: Alberto Cialdea; Vladimir Maz`ya
Название: Semi-bounded Differential Operators, Contractive Semigroups and Beyond
ISBN: 3319356704 ISBN-13(EAN): 9783319356709
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This trail-blazing treatment of a new and emerging topic sets out the authors` own research into differing interpretations of the semi-boundedness of partial differential operators. It examines function spaces that include the Hilbert and Banach varieties.

Semigroups of Operators -Theory and Applications

Автор: Jacek Banasiak; Adam Bobrowski; Miros?aw Lachowicz
Название: Semigroups of Operators -Theory and Applications
ISBN: 3319383736 ISBN-13(EAN): 9783319383736
Издательство: Springer
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Цена: 16769.00 р.
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Описание: 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.

Nonlinear Evolution Operators and Semigroups

Автор: Nicolae H. Pavel
Название: Nonlinear Evolution Operators and Semigroups
ISBN: 3540179747 ISBN-13(EAN): 9783540179740
Издательство: Springer
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Цена: 6288.00 р.
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Описание: 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. This research monograph shows that a large class of PDE's can be studied via the semigroup approach.

Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations

Автор: Kelei Wang
Название: Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations
ISBN: 364244248X ISBN-13(EAN): 9783642442483
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The results of this exceptional thesis on free boundary problems in singularly perturbed PDEs develop our understanding of the effects of strong competition between species. The research has a wealth of valuable applications in both physics and biology.

Scalar and Asymptotic Scalar Derivatives

Автор: George Isac; S?ndor Zolt?n N?meth
Название: Scalar and Asymptotic Scalar Derivatives
ISBN: 1441944842 ISBN-13(EAN): 9781441944849
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry and applied mathematics. The theoretical results are developed in particular with respect to the study of complementarity problems, monotonicity of nonlinear mappings and the non-gradient type monotonicity on Riemannian manifolds.

Positive Operator Semigroups

Автор: Andr?s B?tkai; Marjeta Kramar Fijav?; Abdelaziz Rh
Название: Positive Operator Semigroups
ISBN: 331942811X ISBN-13(EAN): 9783319428116
Издательство: Springer
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Цена: 9362.00 р.
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Описание: This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications.


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