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Linear Operators and Ill-Posed Problems, Lavrent`ev



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Автор: Lavrent`ev
Название:  Linear Operators and Ill-Posed Problems
ISBN: 9780306110351
Издательство: Springer
Классификация:
ISBN-10: 0306110350
Обложка/Формат: Hardback
Страницы: 380
Вес: 1.67 кг.
Дата издания: 01.10.1995
Серия: Mathematical and Computational Physics
Язык: English
Иллюстрации: Illustrations
Размер: 22.86 x 15.24 x 2.54
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
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Поставляется из: Германии



Nonlinear Ill-posed Problems of Monotone Type

Автор: Alber Yakov, Ryazantseva Irina
Название: Nonlinear Ill-posed Problems of Monotone Type
ISBN: 1402043953 ISBN-13(EAN): 9781402043956
Издательство: Springer
Цена: 13859 р.
Наличие на складе: Поставка под заказ.

Описание: Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years. Results in the field over the last three decades, previously only available in journal articles, are comprehensively explored with particular attention given to applications of regularization methods as well as to practical methods used in computational analysis.

Numerical Methods for the Solution of Ill-Posed Problems

Автор: Tikhonov
Название: Numerical Methods for the Solution of Ill-Posed Problems
ISBN: 079233583X ISBN-13(EAN): 9780792335832
Издательство: Springer
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Цена: 10971 р.
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Описание: Considers linear ill-posed problems with or without a priori constraints. This book contains a FORTRAN program library. It is suitable for postgraduate students of physics, mathematics, chemistry, economics, engineering. It is also suitable for engineers and scientists interested in data processing and the theory of ill-posed problems.

Well-Posed Linear Systems

Автор: Olof Staffans
Название: Well-Posed Linear Systems
ISBN: 0521825849 ISBN-13(EAN): 9780521825849
Издательство: Cambridge Academ
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Цена: 22323 р.
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Описание: Many infinite-dimensional linear systems can be modelled in a Hilbert space setting. Others, such as those dealing with heat transfer or population dynamics, need to be set more generally in Banach spaces. This is the first book dealing with well-posed infinite-dimensional linear systems with an input, a state, and an output in a Hilbert or Banach space setting. It is also the first to describe the class of non-well-posed systems induced by system nodes. The author shows how standard finite-dimensional results from systems theory can be extended to these more general classes of systems, and complements them with new results which have no finite-dimensional counterpart. Much of the material presented is original, and many results have never appeared in book form before. A comprehensive bibliography rounds off this work which will be indispensable to all working in systems theory, operator theory, delay equations and partial differential equations.

Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces

Автор: MolnГЎr L.
Название: Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces
ISBN: 3540399445 ISBN-13(EAN): 9783540399445
Издательство: Springer
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Цена: 5192 р.
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Описание: Over the past several decades, the territory of preserver problems has been continuously enlarging within the frame of linear analysis. The aim of this work is to present a sort of cross-section of the modern theory of preservers on infinite dimensional spaces (operator spaces and function spaces) through the author's corresponding results. Special emphasis is put on preserver problems concerning some structures of Hilbert space operators which appear in quantum mechanics. Moreover, local automorphisms and local isometries of operator algebras and function algebras are discussed in details.

The Analysis of Linear Partial Differential Operators I / Distribution Theory and Fourier Analysis

Автор: HГ¶rmander Lars
Название: The Analysis of Linear Partial Differential Operators I / Distribution Theory and Fourier Analysis
ISBN: 3540006621 ISBN-13(EAN): 9783540006626
Издательство: Springer
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Цена: 5774 р.
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Описание: Vol. 1 of Lars HГ¶rmander's influential 4-volume treatise is a detailed exposition of the theory of distributions.From the reviews: "In order to illustrate the richness of the book: in my review of the 1983 edition [...] I gave a list of 20 subjects which were new compared to HГ¶rmander's book of 1963. Most of these subjects concern important, basic and highly nontrivial theorems in analysis. HГ¶rmander's treatment of these is extremely clear and efficient and often highly original. [...] Most of the exercises are witty, with an interesting point. The phrasing of both the exercises and the answers and hints is very careful [...]  In all, the book can be highly recommended, both as a textbook for advanced students, and as background and reference for introductory courses on distributions and Fourier analysis."J.J. Duistermaat in Mededelingen van het Wiskundig Genootschap  

The Analysis of Linear Partial Differential Operators II / Differential Operators with Constant Coefficients

Автор: HГ¶rmander Lars
Название: The Analysis of Linear Partial Differential Operators II / Differential Operators with Constant Coefficients
ISBN: 3540225161 ISBN-13(EAN): 9783540225164
Издательство: Springer
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Цена: 5774 р.
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Описание: Vol. I of Lars HГ¶rmander's 4-volume treatise was an exposition of the theory of distributions and Fourier analysis preparing for the study of linear partial differential operators.The present Vol. II is mainly devoted to operators with constant coefficients. An analysis of the existence and regularity of (fundamental) solutions in the first two chapters is followed by a thorough study of the Cauchy problem. One chapter is devoted to the spectral theory of short range perturbations of operators with constant coefficients, and another presents Fourier-Laplace representations of solutions of homogeneous differential equations with constant coefficients. The last chapter is a study of the closely related subject of convolution operators.

Linear Operators and Linear Systems

Автор: Jonathan R. Partington
Название: Linear Operators and Linear Systems
ISBN: 0521837340 ISBN-13(EAN): 9780521837347
Издательство: Cambridge Academ
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Цена: 13694 р.
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Описание: Linear systems can be regarded as a causal shift-invariant operator on a Hilbert space of signals, and by doing so this book presents an introduction to the common ground between operator theory and linear systems theory. The book therefore includes material on pure mathematical topics such as Hardy spaces, closed operators, the gap metric, semigroups, shift-invariant subspaces, the commutant lifting theorem and almost-periodic functions, which would be entirely suitable for a course in functional analysis; at the same time, the book includes applications to partial differential equations, to the stability and stabilization of linear systems, to power signal spaces (including some recent material not previously available in books), and to delay systems, treated from an input/output point of view. Suitable for students of analysis, this book also acts as an introduction to a mathematical approach to systems and control for graduate students in departments of applied mathematics or engineering.

The Analysis of Linear Partial Differential Operators III / Pseudo-Differential Operators

Автор: HГ¶rmander Lars
Название: The Analysis of Linear Partial Differential Operators III / Pseudo-Differential Operators
ISBN: 3540499377 ISBN-13(EAN): 9783540499374
Издательство: Springer
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Цена: 5774 р.
Наличие на складе: Поставка под заказ.

Описание: From the reviews: "Volumes III and IV complete L. HГ¶rmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987."This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. BrГјning in Zentralblatt MATH, 1987.

Non-Standard and Improperly Posed Problems,

Автор: William F. Ames
Название: Non-Standard and Improperly Posed Problems,
ISBN: 0120567458 ISBN-13(EAN): 9780120567454
Издательство: Elsevier Science
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Цена: 19635 р.
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Описание: Provides an overview of the methodology typically used to study improperly posed problems. This book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, and also presents other relevant improperly posed problems.

Convexity and Well-Posed Problems

Автор: Lucchetti Roberto
Название: Convexity and Well-Posed Problems
ISBN: 0387287191 ISBN-13(EAN): 9780387287195
Издательство: Springer
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Цена: 9239 р.
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Описание: Stability means the basic parameters of a minimum problem do not vary much if we slightly change the initial data, while well-posedness means points with values close to the value of the problem must be close to actual solutions. This book contains an explication of hypertopologies and tells how to use them in the context of optimization problems.

Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models

Автор: Qin
Название: Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models
ISBN: 9811017131 ISBN-13(EAN): 9789811017131
Издательство: Springer
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Цена: 8892 р.
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Описание: This book presents recent findings on the global existence, the uniqueness and the large-time behavior of global solutions of thermo(vis)coelastic systems and related models arising in physics, mechanics and materials science such as thermoviscoelastic systems, thermoelastic systems of types II and III, as well as Timoshenko-type systems with past history. Part of the book is based on the research conducted by the authors and their collaborators in recent years. The book will benefit interested beginners in the field and experts alike.

Extremum Problems for Eigenvalues of Elliptic Operators

Автор: Henrot Antoine
Название: Extremum Problems for Eigenvalues of Elliptic Operators
ISBN: 3764377054 ISBN-13(EAN): 9783764377052
Издательство: Springer
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Цена: 5774 р.
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Описание: Problems linking the shape of a domain or the coefficients of an elliptic operator to the sequence of its eigenvalues are among the most fascinating of mathematical analysis. In this book, we focus on extremal problems. For instance, we look for a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints. We also consider the case of functions of eigenvalues. We investigate similar questions for other elliptic operators, such as the SchrГ¶dinger operator, non homogeneous membranes, or the bi-Laplacian, and we look at optimal composites and optimal insulation problems in terms of eigenvalues. Providing also a self-contained presentation of classical isoperimetric inequalities for eigenvalues and 30 open problems, this book will be useful for pure and applied mathematicians, particularly those interested in partial differential equations, the calculus of variations, differential geometry, or spectral theory.


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