Nonlocal Nonlinear Fractional-order Boundary Value Problems, Bashir Ahmad, Sotiris K Ntouyas

Автор: Peter William Egolf, Kolumban Hutter
Название: Nonlinear, Nonlocal and Fractional Turbulence
ISBN: 3030260321 ISBN-13(EAN): 9783030260323
Издательство: Springer
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Цена: 130430.00 T
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Описание: Nonlinearity has established itself quite well, but so far only a very small number of general nonlocal concepts and no concrete nonlocal turbulent flow solutions were available. This book presents the first analytical and numerical solutions of elementary turbulent flow problems, mainly based on a nonlocal closure.

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Цена: 141510.00 T
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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.

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: 41920.00 T
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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.

Автор: Alex Amenta, Pascal Auscher
Название: Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach
ISBN: 1470442507 ISBN-13(EAN): 9781470442507
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called ``first order approach'' which uses minimal assumptions on the coefficients and thus allows for complex coefficients and for systems of equations.This self-contained exposition of the first order approach offers new results with detailed proofs in a clear and accessible way and will become a valuable reference for graduate students and researchers working in partial differential equations and harmonic analysis.

Автор: Jos? M. Maz?n; Julio Daniel Rossi; J. Juli?n Toled
Название: Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
ISBN: 3030062422 ISBN-13(EAN): 9783030062422
Издательство: Springer
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Цена: 51230.00 T
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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.

Автор: Donatella Danielli, Arshak Petrosyan, Camelia A. Pop
Название: New Developments in the Analysis of Nonlocal Operators
ISBN: 1470441101 ISBN-13(EAN): 9781470441104
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: This volume contains the proceedings of the AMS Special Session on New Developments in the Analysis of Nonlocal Operators, held from October 28-30, 2016, at the University of St. Thomas, Minneapolis, Minnesota. Problems represented in this volume include uniqueness for weak solutions to abstract parabolic equations with fractional time derivatives and the behavior of the one-phase Bernoulli-type free boundary near a fixed boundary and its relation to a Signorini-type problem.

Автор: Claudia Bucur; Enrico Valdinoci
Название: Nonlocal Diffusion and Applications
ISBN: 3319287389 ISBN-13(EAN): 9783319287386
Издательство: Springer
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Цена: 51230.00 T
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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.

Автор: Palatucci Giampiero, Kuusi Tuomo
Название: Recent Developments in Nonlocal Theory
ISBN: 3110571552 ISBN-13(EAN): 9783110571554
Издательство: Walter de Gruyter
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Цена: 262070.00 T
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Описание:

This edited volume aims at giving an overview of recent advances in the theory and applications of Partial Differential Equations and energy functionals related to the fractional Laplacian operator as well as to more general integro-differential operators with singular kernel of fractional differentiability.
After being investigated firstly in Potential Theory and Harmonic Analysis, fractional operators defined via singular integral are nowadays riveting great attention in different research fields related to Partial Differential Equations with nonlocal terms, since they naturally arise in many different contexts, as for instance, dislocations in crystals, nonlocal minimal surfaces, the obstacle problem, the fractional Yamabe problem, and many others.
Much progress has been made during the last years, and this edited volume presents a valuable update to a wide community interested in these topics.

Автор: Bashir Ahmad, Johnny L Henderson, Rodica Luca
Название: Boundary Value Problems For Fractional Differential Equations And Systems
ISBN: 9811224455 ISBN-13(EAN): 9789811224454
Издательство: World Scientific Publishing
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This book is devoted to the study of existence of solutions or positive solutions for various classes of Riemann-Liouville and Caputo fractional differential equations, and systems of fractional differential equations subject to nonlocal boundary conditions. The monograph draws together many of the authors' results, that have been obtained and highly cited in the literature in the last four years.

In each chapter, various examples are presented which support the main results. The methods used in the proof of these theorems include results from the fixed point theory and fixed point index theory. This volume can serve as a good resource for mathematical and scientific researchers, and for graduate students in mathematics and science interested in the existence of solutions for fractional differential equations and systems.

Автор: Svatopluk Fucik
Название: Solvability of Nonlinear Equations and Boundary Value Problems
ISBN: 9027710775 ISBN-13(EAN): 9789027710772
Издательство: Springer
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Цена: 102480.00 T
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Автор: Eloe Paul W Et Al
Название: Nonlinear Interpolation And Boundary Value Problems
ISBN: 9814733474 ISBN-13(EAN): 9789814733472
Издательство: World Scientific Publishing
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Цена: 92930.00 T
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Описание: This book is devoted to the study of boundary value problems for nonlinear ordinary differential equations and focuses on questions related to the study of nonlinear interpolation.

Автор: Dumitru Motreanu; Vicentiu D. Radulescu
Название: Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems
ISBN: 1441952489 ISBN-13(EAN): 9781441952486
Издательство: Springer
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Цена: 153720.00 T
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Описание: Excepting Sections 1 and 3 in Chapter 1 and Sections 1 and 3 in Chapter 2, the material is new in comparison with any other book, representing research topics where the authors contributed.