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Parabolic Quasilinear Equations Minimizing Linear Growth Functionals, Fuensanta Andreu-Vaillo; Vicent Caselles; Jos? M.


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Автор: Fuensanta Andreu-Vaillo; Vicent Caselles; Jos? M.
Название:  Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
ISBN: 9783034896245
Издательство: Springer
Классификация:




ISBN-10: 3034896247
Обложка/Формат: Paperback
Страницы: 342
Вес: 0.50 кг.
Дата издания: 30.10.2012
Серия: Progress in Mathematics
Язык: English
Издание: Softcover reprint of
Иллюстрации: 13 black & white illustrations
Размер: 234 x 156 x 19
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

This book contains a detailed mathematical analysis of the variational approach to image restoration based on the minimization of the total variation submitted to the constraints given by the image acquisition model. This model, initially introduced by Rudin, Osher, and Fatemi, had a strong influence in the development of variational methods for image denoising and restoration, and pioneered the use of the BV model in image processing. After a full analysis of the model, the minimizing total variation flow is studied under different boundary conditions, and its main qualitative properties are exhibited. In particular, several explicit solutions of the denoising problem are computed.




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: 9077.00 р.
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Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). 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).

Bifurcation Theory of Functional Differential Equations

Автор: Guo, Shangjiang, Wu, Jianhong
Название: Bifurcation Theory of Functional Differential Equations
ISBN: 1461469910 ISBN-13(EAN): 9781461469919
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book summarizes effective and general approaches and frameworks in the investigation of bifurcation phenomena for functional differential equations (FDEs). It provides all the tools from bifurcation theory and contains examples and applications.

Parabolic Quasilinear Equations Minimizing Linear Growth Functionals

Автор: Fuensanta Andreu-Vaillo; Vicent Caselles; Jos? M.
Название: Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
ISBN: 3764366192 ISBN-13(EAN): 9783764366193
Издательство: Springer
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Цена: 13969.00 р.
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Описание: Details the mathematical developments in total variation based image restauration. This book is devoted to PDE`s of elliptic and parabolic type associated to functionals having a linear growth in the gradient, with a special emphasis on the applications related to image restoration and nonlinear filters.

Moving Interfaces and Quasilinear Parabolic Evolution Equations

Автор: Pr?ss
Название: Moving Interfaces and Quasilinear Parabolic Evolution Equations
ISBN: 3319276972 ISBN-13(EAN): 9783319276977
Издательство: Springer
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Цена: 18167.00 р.
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Описание: In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows. The theory of maximal regularity, an essential element, is also fully developed. The authors present a modern approach based on powerful tools in classical analysis, functional analysis, and vector-valued harmonic analysis.The theory is applied to problems in two-phase fluid dynamics and phase transitions, one-phase generalized Newtonian fluids, nematic liquid crystal flows, Maxwell-Stefan diffusion, and a variety of geometric evolution equations. The book also includes a discussion of the underlying physical and thermodynamic principles governing the equations of fluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.

Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

Автор: Leonid Shaikhet
Название: Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
ISBN: 3319033522 ISBN-13(EAN): 9783319033525
Издательство: Springer
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Цена: 16977.00 р.
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Описание: This book offers a detailed description of Lyapunov functional construction. It features profuse analytical and numerical examples and demonstrates a method that can be usefully applied in economic, mechanical, biological and ecological systems.

Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

Автор: Leonid Shaikhet
Название: Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
ISBN: 3319001000 ISBN-13(EAN): 9783319001005
Издательство: Springer
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Цена: 18284.00 р.
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Описание: This book offers a detailed description of Lyapunov functional construction. It features profuse analytical and numerical examples and demonstrates a method that can be usefully applied in economic, mechanical, biological and ecological systems.

Linear and Quasilinear Parabolic Problems

Автор: Herbert Amann
Название: Linear and Quasilinear Parabolic Problems
ISBN: 3034899505 ISBN-13(EAN): 9783034899505
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This distinguishes it from the theory of nonlinear contraction semigroups whose basis is a nonlinear version of the Hille- Yosida theorem: the Crandall-Liggett theorem. Thus the theory of nonlinear contraction semigroups does not apply to systems, in general, since they do not allow for a maximum principle.

Regularity Problem for Quasilinear Elliptic and Parabolic Systems

Автор: Alexander Koshelev
Название: Regularity Problem for Quasilinear Elliptic and Parabolic Systems
ISBN: 3540602518 ISBN-13(EAN): 9783540602514
Издательство: Springer
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Цена: 6282.00 р.
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Описание: This text deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described.

Complex Convexity and Analytic Functionals

Автор: Mats Andersson; Mikael Passare; Ragnar Sigurdsson
Название: Complex Convexity and Analytic Functionals
ISBN: 3034896050 ISBN-13(EAN): 9783034896054
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book puts the modern theory of complex linear convexity on a solid footing, and gives a thorough and up-to-date survey of its current status. Applications include the Fantappie transformation of analytic functionals, integral representation formulas, polynomial interpolation, and solutions to linear partial differential equations.

Homogenization of Differential Operators and Integral Functionals

Автор: V.V. Jikov; G.A. Yosifian; S.M. Kozlov; O.A. Olein
Название: Homogenization of Differential Operators and Integral Functionals
ISBN: 3642846610 ISBN-13(EAN): 9783642846618
Издательство: Springer
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Цена: 15372.00 р.
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Описание: A great deal of attention was given to the so called disperse media, which, in the simplest case, are two-phase media formed by the main homogeneous material containing small foreign particles (grains, inclusions).

Linear Functional Equations. Operator Approach

Автор: Anatolij Antonevich
Название: Linear Functional Equations. Operator Approach
ISBN: 3034898517 ISBN-13(EAN): 9783034898515
Издательство: Springer
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Цена: 11173.00 р.
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Описание: In this book we shall study linear functional equations of the form m bu(x) == Lak(X)U(Qk(X)) = f(x), (1) k=l where U is an unknown function from a given space F(X) of functions on a set X, Qk: X -+ X are given mappings, ak and f are given functions. Our approach is based on the investigation of the operators given by the left-hand side of equa- tion (1). In what follows such operators will be called functional operators. We will pay special attention to the spectral properties of functional operators, first of all, to invertibility and the Noether property. Since the set X, the space F(X), the mappings Qk and the coefficients ak are arbitrary, the class of operators of the form (1) is very rich and some of its individ- ual representatives are related with problems arising in various areas of mathemat- ics and its applications. In addition to the classical theory of functional equations, among such areas one can indicate the theory of functional-differential equations with deviating argument, the theory of nonlocal problems for partial differential equations, the theory of boundary value problems for the equation of a vibrating string and equations of mixed type, a number of problems of the general theory of operator algebras and the theory of dynamical systems, the spectral theory of au- tomorphisms of Banach algebras, and other problems.

Functionals of Finite Riemann Surfaces

Автор: Schiffer Menahem, Spencer Donald Clayton
Название: Functionals of Finite Riemann Surfaces
ISBN: 0691627045 ISBN-13(EAN): 9780691627045
Издательство: Wiley
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Цена: 11880.00 р.
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Описание: An investigation of finite Riemann surfaces from the point of view of functional analysis, that is, the study of the various Abelian differentials of the surface in their dependence on the surface itself. Many new results are presented. Originally published in 1954. The Princeton Legacy Library uses the latest print-on-demand technology to again


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