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Sobolev Spaces,140, Robert A. Adams



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Автор: Robert A. Adams
Название:  Sobolev Spaces,140
ISBN: 9780120441433
Издательство: Elsevier Science
Классификация:
ISBN-10: 0120441438
Обложка/Формат: Hardback
Страницы: 320
Вес: 0.65 кг.
Дата издания: 26.06.2003
Серия: Pure and applied mathematics
Язык: English
Издание: 2 ed
Размер: 23.47 x 15.95 x 1.91
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Англии



Functional analysis, Sobolev spaces and partial differential equations

Автор: Brezis, H.
Название: Functional analysis, Sobolev spaces and partial differential equations
ISBN: 0387709134 ISBN-13(EAN): 9780387709130
Издательство: Springer
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Цена: 7502 р.
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Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Nonlinear Potential Theory and Weighted Sobolev Spaces

Автор: Turesson
Название: Nonlinear Potential Theory and Weighted Sobolev Spaces
ISBN: 3540675884 ISBN-13(EAN): 9783540675884
Издательство: Springer
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Цена: 4037 р.
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Описание: The book systematically develops nonlinear potential theory and the Sobolev space theory covers results concerning approximation, extension, and interpolation, Sobolev and Poincare inequalities, Maz`ya type embedding theorems, and isoperimetric inequalities.

Sobolev Spaces on Riemannian Manifolds

Автор: Hebey
Название: Sobolev Spaces on Riemannian Manifolds
ISBN: 3540617221 ISBN-13(EAN): 9783540617228
Издательство: Springer
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Цена: 3113 р.
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Описание: This work discusses developments in the theory of Sobolev spaces on Riemannian manifolds. Hebey`s presentation includes developments due mainly to the author himself and to Hebey Vaugon, and he discusses the hypotheses to test whether they can be weakened.

Variational Analysis in Sobolev and BV Spaces

Автор: Hedy Attouch
Название: Variational Analysis in Sobolev and BV Spaces
ISBN: 0898716004 ISBN-13(EAN): 9780898716009
Издательство: Cambridge Academ
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Цена: 10271 р.
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Описание: This self-contained book is excellent for graduate-level courses devoted to variational analysis, optimization, and partial differential equations (PDEs). It provides readers with a complete guide to problems in these fields as well as a detailed presentation of the most important tools and methods of variational analysis. New trends in variational analysis are also presented, along with recent developments and applications in this area. It contains several applications to problems in geometry, mechanics, elasticity, and computer vision, along with a complete list of references. The book is divided into two parts. In Part I, classical Sobolev spaces are introduced and the reader is provided with the basic tools and methods of variational analysis and optimization in infinite dimensional spaces, with applications to classical PDE problems. In Part II, BV spaces are introduced and new trends in variational analysis are presented.

An Introduction to Sobolev Spaces and Interpolation Spaces

Автор: Tartar Luc
Название: An Introduction to Sobolev Spaces and Interpolation Spaces
ISBN: 3540714820 ISBN-13(EAN): 9783540714828
Издательство: Springer
Цена: 8084 р.
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Описание: After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.

Lebesgue and Sobolev Spaces with Variable Exponents

Название: Lebesgue and Sobolev Spaces with Variable Exponents
ISBN: 364218362X ISBN-13(EAN): 9783642183621
Издательство: Springer
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Цена: 10389 р.
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Описание: The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.

Sobolev Spaces on Metric Measure Spaces

Автор: Heinonen
Название: Sobolev Spaces on Metric Measure Spaces
ISBN: 1107092345 ISBN-13(EAN): 9781107092341
Издательство: Cambridge Academ
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Цена: 13283 р.
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Описание: Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a Sobolev function was formulated in the setting of metric measure spaces supporting a Poincare inequality. This coherent treatment from first principles is an ideal introduction to the subject for graduate students and a useful reference for experts. It presents the foundations of the theory of such first-order Sobolev spaces, then explores geometric implications of the critical Poincare inequality, and indicates numerous examples of spaces satisfying this axiom. A distinguishing feature of the book is its focus on vector-valued Sobolev spaces. The final chapters include proofs of several landmark theorems, including Cheeger's stability theorem for Poincare inequalities under Gromov–Hausdorff convergence, and the Keith–Zhong self-improvement theorem for Poincare inequalities.

Sobolev Spaces

Автор: Maz`ya
Название: Sobolev Spaces
ISBN: 3642155634 ISBN-13(EAN): 9783642155635
Издательство: Springer
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Цена: 17324 р.
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Описание: Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author’s involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume ?rst appeared in German as three booklets of Teubner-Texte zur Mathematik (1979, 1980). In the Springer volume “Sobolev Spaces”, published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a signi?cantly augmented list of references aim to create a broader and modern view of the area.

Pseudo-Differential Operators With Discontinuous Symbols (Memo/222/1043)

Автор: Sobolev
Название: Pseudo-Differential Operators With Discontinuous Symbols (Memo/222/1043)
ISBN: 0821884875 ISBN-13(EAN): 9780821884874
Издательство: Eurospan
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Цена: 10468 р.
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Описание: Relying on the known two-term quasiclassical asymptotic formula for the trace of the function f(A) of a Wiener-Hopf type operator A in dimension one, in 1982 H. Widom conjectured a multi-dimensional generalisation of that formula for a pseudo-differential operator A with a symbol a(x,ξ) having jump discontinuities in both variables. In 1990 he proved the conjecture for the special case when the jump in any of the two variables occurs on a hyperplane. The present paper provides a proof of Widom's Conjecture under the assumption that the symbol has jumps in both variables on arbitrary smooth bounded surfaces.

Theory of Sobolev Multipliers

Автор: Vladimir Maz`ya; Tatyana O. Shaposhnikova
Название: Theory of Sobolev Multipliers
ISBN: 364208902X ISBN-13(EAN): 9783642089022
Издательство: Springer
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Цена: 19056 р.
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Описание: The first part of this book offers a comprehensive overview of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The second part of the book explores several applications of this theory.

Inequalities Based on Sobolev Representations

Автор: Anastassiou
Название: Inequalities Based on Sobolev Representations
ISBN: 146140200X ISBN-13(EAN): 9781461402008
Издательство: Springer
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Цена: 5769 р.
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Описание: Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Gr?ss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions.  Applications illustrate inequalities that engage in ordinary and weak partial derivatives of the involved functions. This book also derives important estimates for the averaged Taylor polynomials and remainders of Sobolev integral representations.  The results are examined in all directions and through both univariate and multivariate cases. This book is suitable for researchers, graduate students, and seminars in subareas of mathematical analysis, inequalities, partial differential equations and information theory.

Theory of sobolev multipliers

Автор: Maz`ya, Vladimir G. Shaposhnikova, T.o.
Название: Theory of sobolev multipliers
ISBN: 3540694900 ISBN-13(EAN): 9783540694908
Издательство: Springer
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Цена: 19056 р.
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Описание: Offers a comprehensive exposition of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. This book covers topics such as: trace inequalities, analytic characterization of multipliers, relations between spaces of Sobolev multipliers and other function spaces, and maximal subalgebras of multiplier spaces.


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