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Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets, Jos? M. Maz?n; Julio Daniel Rossi; J. Juli?n Toled


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Автор: Jos? M. Maz?n; Julio Daniel Rossi; J. Juli?n Toled
Название:  Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
ISBN: 9783030062422
Издательство: Springer
Классификация:





ISBN-10: 3030062422
Обложка/Формат: Soft cover
Страницы: 123
Вес: 0.26 кг.
Дата издания: 2019
Серия: Frontiers in Mathematics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 1 illustrations, color; 1 illustrations, black and white; xviii, 123 p. 2 illus., 1 illus. in color.
Размер: 244 x 170 x 8
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms. It addresses nonlocal notions of perimeter and curvature and studies in detail the minimal surfaces associated with them. These notions of nonlocal perimeter and curvature are defined on the basis of a non-singular kernel. Further, when the kernel is appropriately rescaled, they converge toward the classical perimeter and curvature as the rescaling parameter tends to zero. In this way, the usual notions can be recovered by using the nonlocal ones. In addition, nonlocal heat content is studied and an asymptotic expansion is obtained. Given its scope, the book is intended for undergraduate and graduate students, as well as senior researchers interested in analysis and/or geometry.
Дополнительное описание: Nonlocal Perimeter.- Nonlocal Isoperimetric Inequality.- Nonlocal Minimal Surfaces and Nonlocal Curvature.- Nonlocal Operators.- Nonlocal Cheeger and Calibrable Sets.- Nonlocal Heat Content.- A Nonlocal Mean Curvature Flow.- Bibliography.- Index.



Variational Methods for Nonlocal Fractional Problems

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Цена: 21226.00 р.
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Описание: Devoted to the variational analysis of problems described by nonlocal operators, this book will appeal to a wide range of researchers and graduate students in mathematics, especially those interested in nonlinear phenomena. A careful balance is struck between rigorous mathematics and physical applications.

Geometry of Manifolds with Non-negative Sectional Curvature

Автор: Owen Dearricott; Fernando Galaz-Garc?a; Lee Kennar
Название: Geometry of Manifolds with Non-negative Sectional Curvature
ISBN: 3319063723 ISBN-13(EAN): 9783319063720
Издательство: Springer
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Цена: 4890.00 р.
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Описание:

Riemannian manifolds with positive sectional curvature.- An introduction to isometric group actions.- A note on maximal symmetry rank, quasipositive curvature and low dimensional manifolds.- Lectures on n-Sasakian manifolds.- On the Hopf conjecture with symmetry.- An Introduction to Exterior Differential Systems.

Convex Analysis and Measurable Multifunctions

Автор: C. Castaing; M. Valadier
Название: Convex Analysis and Measurable Multifunctions
ISBN: 3540081445 ISBN-13(EAN): 9783540081449
Издательство: Springer
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Цена: 6288.00 р.
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Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Автор: Matteo Bonforte; Gabriele Grillo; Jos? Antonio Car
Название: Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions
ISBN: 3319614932 ISBN-13(EAN): 9783319614939
Издательство: Springer
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Цена: 6288.00 р.
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Описание: Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems.

No B.S. Guide to Direct Response Social Media Marketing: The Ultimate No Holds Barred Guide to Producing Measurable, Monetizable Results with Social M

Автор: Kennedy Dan S., Walsh-Phillips Kim
Название: No B.S. Guide to Direct Response Social Media Marketing: The Ultimate No Holds Barred Guide to Producing Measurable, Monetizable Results with Social M
ISBN: 1599185776 ISBN-13(EAN): 9781599185774
Издательство: McGraw-Hill
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Цена: 2057.00 р.
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Описание: To avoid grabbing every business owner he meets by the shoulders and shaking them, millionaire maker Dan S. Kennedy has joined with marketing strategist Kim Walsh-Phillips to help business owners, private practice professionals, and professional marketers start making dollars and cents of their social media marketing.
Daring readers to stop accepting non-monetizable likes and shares for their investment of time, money, and energy, Kennedy and Walsh-Phillips urge readers to see their social platforms for what they are another channel to reach customers and gain leads and sales for their efforts. Illustrated by case studies and examples, this No B.S. guide delivers practical strategies for applying the same direct-response marketing rules Kennedy has himself found effective in all other mediums.
This book covers how to stop being a wimp and make the switch from a passive content presence into an active conversion tool; how to become a lead magnet by setting up social media profiles that focus on the needs of ideal prospects (not the product or service); creating raving fans that create introductions to their networks; how to move cold social media traffic into customers; the role of paid media and how to leverage social media advertising to drive sales."

Constant Mean Curvature Surfaces with Boundary

Автор: Rafael L?pez
Название: Constant Mean Curvature Surfaces with Boundary
ISBN: 3662512564 ISBN-13(EAN): 9783662512562
Издательство: Springer
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Цена: 11878.00 р.
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Описание:

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods but also PDE and complex analysis, the theory is also of great interest for many other mathematical fields.

While minimal surfaces and CMC surfaces in general have already been treated in the literature, the present work is the first to present a comprehensive study of "compact surfaces with boundaries," narrowing its focus to a geometric view. Basic issues include the discussion whether the symmetries of the curve inherit to the surface; the possible values of the mean curvature, area and volume; stability; the circular boundary case and the existence of the Plateau problem in the non-parametric case. The exposition provides an outlook on recent research but also a set of techniques that allows the results to be expanded to other ambient spaces. Throughout the text, numerous illustrations clarify the results and their proofs.

The book is intended for graduate students and researchers in the field of differential geometry and especially theory of surfaces, including geometric analysis and geometric PDEs. It guides readers up to the state-of-the-art of the theory and introduces them to interesting open problems.

Lecture Notes on Mean Curvature Flow

Автор: Carlo Mantegazza
Название: Lecture Notes on Mean Curvature Flow
ISBN: 3034803400 ISBN-13(EAN): 9783034803403
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This introduction to the subject of mean curvature flow of hypersurfaces has a special emphasis on the analysis of singularities and provides a detailed discussion of the classical parametric approach mainly developed by R. Hamilton and G. Huisken.

Nonlocal Diffusion and Applications

Автор: Claudia Bucur; Enrico Valdinoci
Название: Nonlocal Diffusion and Applications
ISBN: 3319287389 ISBN-13(EAN): 9783319287386
Издательство: Springer
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Цена: 7685.00 р.
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Описание: Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrodinger equations are given.

Transfer Operators, Endomorphisms, and Measurable Partitions

Автор: Bezuglyi
Название: Transfer Operators, Endomorphisms, and Measurable Partitions
ISBN: 3319924168 ISBN-13(EAN): 9783319924168
Издательство: Springer
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Цена: 5589.00 р.
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Описание: The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the “easier” and well-documented case of automorphisms. Among them is the construction of a family of positive operators (transfer operators), arising naturally as a dual picture to that of endomorphisms. The setting (close to one initiated by S. Karlin in the context of stochastic processes) is motivated by a number of recent applications, including wavelets, multi-resolution analyses, dissipative dynamical systems, and quantum theory. The automorphism-endomorphism relationship has parallels in operator theory, where the distinction is between unitary operators in Hilbert space and more general classes of operators such as contractions. There is also a non-commutative version: While the study of automorphisms of von Neumann algebras dates back to von Neumann, the systematic study of their endomorphisms is more recent; together with the results in the main text, the book includes a review of recent related research papers, some by the co-authors and their collaborators.

Curvature Measures of Singular Sets

Автор: Jan Rataj; Martina Z?hle
Название: Curvature Measures of Singular Sets
ISBN: 3030181820 ISBN-13(EAN): 9783030181826
Издательство: Springer
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Цена: 18167.00 р.
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Описание:

The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with positive reach and some extensions, which include the classical polyconvex sets and piecewise smooth submanifolds as special cases. The measures under consideration form a complete system of certain Euclidean invariants. Techniques of geometric measure theory, in particular, rectifiable currents are applied, and some important integral-geometric formulas are derived. Moreover, an approach to curvatures for a class of fractals is presented, which uses approximation by the rescaled curvature measures of small neighborhoods. The book collects results published during the last few decades in a nearly comprehensive way.

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