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Carleman Inequalities, Nicolas Lerner


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Автор: Nicolas Lerner
Название:  Carleman Inequalities
ISBN: 9783030159924
Издательство: Springer
Классификация:



ISBN-10: 3030159922
Обложка/Формат: Hardcover
Страницы: 557
Вес: 1.04 кг.
Дата издания: 2019
Серия: Grundlehren der mathematischen Wissenschaften
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 10 illustrations, color; 97 illustrations, black and white; xxvii, 557 p. 107 illus., 10 illus. in color.
Размер: 234 x 156 x 32
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: An Introduction and More
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Over the past 25 years, Carleman estimates have become an essential tool in several areas related to partial differential equations such as control theory, inverse problems, or fluid mechanics. This book provides a detailed exposition of the basic techniques of Carleman Inequalities, driven by applications to various questions of unique continuation.
Beginning with an elementary introduction to the topic, including examples accessible to readers without prior knowledge of advanced mathematics, the books first five chapters contain a thorough exposition of the most classical results, such as Calder?ns and H?rmanders theorems. Later chapters explore a selection of results of the last four decades around the themes of continuation for elliptic equations, with the Jerison-Kenig estimates for strong unique continuation, counterexamples to Cauchy uniqueness of Cohen and Alinhac & Baouendi, operators with partially analytic coefficients with intermediate results between Holmgrens and H?rmanders uniqueness theorems, Wolffs modification of Carlemans method, conditional pseudo-convexity, and more.
With examples and special cases motivating the general theory, as well as appendices on mathematical background, this monograph provides an accessible, self-contained basic reference on the subject, including a selection of the developments of the past thirty years in unique continuation.

Дополнительное описание: 1 Prolegomena.- 2 A Toolbox for Carleman Inequalities.- 3 Operators with Simple Characteristics: Calderon's Theorems.- 4 Pseudo-convexity: Hormander's Theorems.- 5 Complex Coefficients and Principal Normality.- 6 On the Edge of Pseudo-convexity.- 7 Operat


Equilibrium Models and Variational Inequalities,210

Автор: Igor Konnov
Название: Equilibrium Models and Variational Inequalities,210
ISBN: 0444530304 ISBN-13(EAN): 9780444530301
Издательство: Elsevier Science
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Цена: 90100.00 T
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Описание: Presents a unifying look on different equilibrium concepts in economics, including several models from related sciences. This work describes static and dynamic input-output models, Walras, Cassel-Wald, spatial price, auction market, oligopolistic equilibrium models, transportation and migration equilibrium models.

Hardy Inequalities on Homogeneous Groups: 100 Years of Hardy Inequalities

Автор: Ruzhansky Michael, Suragan Durvudkhan
Название: Hardy Inequalities on Homogeneous Groups: 100 Years of Hardy Inequalities
ISBN: 3030028941 ISBN-13(EAN): 9783030028947
Издательство: Springer
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Цена: 46570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general H?rmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.

Mathematical inequalities

Автор: Cerone, Pietro (victoria University, Melbourne, Australia) Dragomir, Silvestru Sever (victoria University, Melbourne, Australia)
Название: Mathematical inequalities
ISBN: 0367383276 ISBN-13(EAN): 9780367383275
Издательство: Taylor&Francis
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Цена: 65320.00 T
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Описание:

Drawing on the authors' research work from the last ten years, Mathematical Inequalities: A Perspective gives readers a different viewpoint of the field. It discusses the importance of various mathematical inequalities in contemporary mathematics and how these inequalities are used in different applications, such as scientific modeling.





The authors include numerous classical and recent results that are comprehensible to both experts and general scientists. They describe key inequalities for real or complex numbers and sequences in analysis, including the Abel; the Biernacki, Pidek, and Ryll-Nardzewski; Cebysev's; the Cauchy-Bunyakovsky-Schwarz; and De Bruijn's inequalities. They also focus on the role of integral inequalities, such as Hermite-Hadamard inequalities, in modern analysis. In addition, the book covers Schwarz, Bessel, Boas-Bellman, Bombieri, Kurepa, Buzano, Precupanu, Dunkl-William, and Grьss inequalities as well as generalizations of Hermite-Hadamard inequalities for isotonic linear and sublinear functionals.





For each inequality presented, results are complemented with many unique remarks that reveal rich interconnections between the inequalities. These discussions create a natural platform for further research in applications and related fields.


Inequalities

Автор: Elliott H. Lieb; Michael Loss; M. B. Ruskai
Название: Inequalities
ISBN: 3642627587 ISBN-13(EAN): 9783642627583
Издательство: Springer
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Цена: 139750.00 T
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Описание: Inequalities play a fundamental role in Functional Analysis and it is widely recognized that finding them, especially sharp estimates, is an art. Together with the mathematical proofs the author also presents numerous applications to the calculus of variations and to many problems of quantum physics, in particular to atomic physics.

Ostrowski Type Inequalities and Applications in Numerical Integration

Автор: Sever S. Dragomir; Themistocles RASSIAS
Название: Ostrowski Type Inequalities and Applications in Numerical Integration
ISBN: 9048159903 ISBN-13(EAN): 9789048159901
Издательство: Springer
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Цена: 125770.00 T
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Описание: It was noted in the preface of the book "Inequalities Involving Functions and Their Integrals and Derivatives", Kluwer Academic Publishers, 1991, by D.S.

Opial Inequalities with Applications in Differential and Difference Equations

Автор: R.P. Agarwal; P.Y. Pang
Название: Opial Inequalities with Applications in Differential and Difference Equations
ISBN: 0792333659 ISBN-13(EAN): 9780792333654
Издательство: Springer
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Цена: 102480.00 T
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Описание: This work offers a systematic and up-to-date account of developments in Opial-type inequalities. It presents a complete survey of results in the field, starting with Zdzidlaw Opial`s landmark paper.

Integral and Discrete Inequalities and Their Applications

Автор: Qin
Название: Integral and Discrete Inequalities and Their Applications
ISBN: 3319333038 ISBN-13(EAN): 9783319333038
Издательство: Springer
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Цена: 153720.00 T
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Описание: This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities. It complements the author’s book on linear inequalities and serves as an essential tool for researchers interested in differential (ODE and PDE), difference, and integral equations.The present volume is part 2 of the author’s two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.

Schur-Convex Functions and Inequalities: Volume 1: Concepts, Properties, and Applications in Symmetric Function Inequalities

Автор: Huan-nan Shi
Название: Schur-Convex Functions and Inequalities: Volume 1: Concepts, Properties, and Applications in Symmetric Function Inequalities
ISBN: 3110606127 ISBN-13(EAN): 9783110606126
Издательство: Walter de Gruyter
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Цена: 149940.00 T
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Описание: This two-volume work introduces the theory and applications of Schur-convex functions. The first volume introduces concepts and properties of Schur-convex functions, including Schur-geometrically convex functions, Schur-harmonically convex functions, Schur-power convex functions, etc. and also discusses applications of Schur-convex functions in symmetric function inequalities.

Survey on Classical Inequalities

Автор: Themistocles RASSIAS
Название: Survey on Classical Inequalities
ISBN: 9401058687 ISBN-13(EAN): 9789401058681
Издательство: Springer
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Цена: 46570.00 T
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Описание: Survey on Classical Inequalities provides a study of some of the well known inequalities in classical mathematical analysis. Subjects dealt with include: Hardy-Littlewood-type inequalities, Hardy's and Carleman's inequalities, Lyapunov inequalities, Shannon's and related inequalities, generalized Shannon functional inequality, operator inequalities associated with Jensen's inequality, weighted Lp -norm inequalities in convolutions, inequalities for polynomial zeros as well as applications in a number of problems of pure and applied mathematics. It is my pleasure to express my appreciation to the distinguished mathematicians who contributed to this volume. Finally, we wish to acknowledge the superb assistance provided by the staff of Kluwer Academic Publishers. June 2000 Themistocles M. Rassias Vll LYAPUNOV INEQUALITIES AND THEIR APPLICATIONS RICHARD C. BROWN Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA. email address: dicbrown@bama.ua.edu DON B. HINTON Department of Mathematics, University of Tennessee, Knoxville, TN 37996, USA. email address: hinton@novell.math.utk.edu Abstract. For nearly 50 years Lyapunov inequalities have been an important tool in the study of differential equations. In this survey, building on an excellent 1991 historical survey by Cheng, we sketch some new developments in the theory of Lyapunov inequalities and present some recent disconjugacy results relating to second and higher order differential equations as well as Hamiltonian systems. 1. Introduction Lyapunov's inequality has proved useful in the study of spectral properties of ordinary differential equations. Typical applications include bounds for eigenvalues, stability criteria for periodic differential equations, and estimates for intervals of disconjugacy

Analytic Inequalities

Автор: P.M. Vasic; Dragoslav S. Mitrinovic
Название: Analytic Inequalities
ISBN: 3642999727 ISBN-13(EAN): 9783642999727
Издательство: Springer
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Цена: 102480.00 T
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Описание: Since 1934 a multitude of papers devoted to inequalities have been published: in some of them new inequalities were discovered, in others classical inequalities ,vere sharpened or extended, various inequalities ,vere linked by finding their common source, while some other papers gave a large number of miscellaneous applications.

Recent Progress in Inequalities

Автор: G.V. Milovanovic
Название: Recent Progress in Inequalities
ISBN: 0792348451 ISBN-13(EAN): 9780792348450
Издательство: Springer
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Цена: 121110.00 T
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Описание: Inequalities are to be found everywhere and play an important role in various subjects of mathematics as well as in other areas of sciences. This volume surveys topics in the field of inequalities, written by 85 scientists from twenty countries, presented at a conference dedicated to Professor Dragoslav S Mitrinovic.

Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations

Автор: Genni Fragnelli, Dimitri Mugnai
Название: Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations
ISBN: 1470419548 ISBN-13(EAN): 9781470419547
Издательство: Mare Nostrum (Eurospan)
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Цена: 72990.00 T
Наличие на складе: Невозможна поставка.
Описание: The authors consider a parabolic problem with degeneracy in the interior of the spatial domain, and they focus on observability results through Carleman estimates for the associated adjoint problem. The novelties of the present paper are two. First, the coefficient of the leading operator only belongs to a Sobolev space. Second, the degeneracy point is allowed to lie even in the interior of the control region, so that no previous result can be adapted to this situation; however, different cases can be handled, and new controllability results are established as a consequence.


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