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Partial Differential Equations: A Unified Hilbert Space Approach, Picard Rainer, McGhee Des


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Автор: Picard Rainer, McGhee Des
Название:  Partial Differential Equations: A Unified Hilbert Space Approach
ISBN: 9783110250268
Издательство: Walter de Gruyter
Издательство: de Gruyter
Классификация:
ISBN-10: 3110250268
Обложка/Формат: Hardcover
Страницы: 487
Вес: 0.97 кг.
Дата издания: 16.06.2011
Серия: De gruyter expositions in mathematics
Язык: English
Размер: 24.41 x 16.99 x 2.69 cm
Читательская аудитория: Professional & vocational
Подзаголовок: A unified hilbert space approach
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Поставляется из: США
Описание:

This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure, a simple extension of the well-established notion of a chain (or scale) of Hilbert spaces.

The focus on a Hilbert space setting (rather than on an apparently more general Banach space) is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations.

In contrast to other texts on partial differential equations, which consider either specific equation types or apply a collection of tools for solving a variety of equations, this book takes a more global point of view by focusing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can be naturally developed. Applications to many areas of mathematical physics are also presented.

The book aims to be largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and also for researchers, who will find new results for particular evolutionary systems from mathematical physics.




Numerical solution of differential equations

Автор: li zhilin
Название: Numerical solution of differential equations
ISBN: 1107163226 ISBN-13(EAN): 9781107163225
Издательство: Cambridge Academ
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Цена: 13464.00 р.
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Описание: This practical and concise guide to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. With few prerequisites, the book is accessible to readers from a range of disciplines across science and engineering. Well-tested MATLAB (R) codes are available online.

Stochastic Differential Equations

Автор: Oksendal
Название: Stochastic Differential Equations
ISBN: 3540047581 ISBN-13(EAN): 9783540047582
Издательство: Springer
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Цена: 8223.00 р.
Наличие на складе: Есть (1 шт.)
Описание: Gives an introduction to the basic theory of stochastic calculus and its applications. This book offers examples in order to motivate and illustrate the theory and show its importance for many applications in for example economics, biology and physics.

Complete Second Order Linear Differential Equations in Hilbert Spaces

Автор: Alexander Ya. Shklyar
Название: Complete Second Order Linear Differential Equations in Hilbert Spaces
ISBN: 3764353775 ISBN-13(EAN): 9783764353773
Издательство: Springer
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Цена: 18161.00 р.
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Описание: Incomplete second order linear differential equations in Banach spaces as well as first order equations have become a part of functional analysis. This monograph presents a unified systematic theory of second order equations y" (t) + Ay` (t) + By (t) = 0 including well-posedness of the Cauchy problem as well as the Dirichlet and Neumann problems.

Fourier Meets Hilbert and Riesz: An Introduction to the Corresponding Transforms

Автор: Rene Erlin Castillo
Название: Fourier Meets Hilbert and Riesz: An Introduction to the Corresponding Transforms
ISBN: 311078405X ISBN-13(EAN): 9783110784053
Издательство: Walter de Gruyter
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Цена: 27884.00 р.
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Описание:

This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms. Ideal for self-study or a one semester course in Fourier analysis, included are detailed examples and exercises.

Partial Differential Equations

Автор: R. M. M. Mattheij
Название: Partial Differential Equations
ISBN: 0898715946 ISBN-13(EAN): 9780898715941
Издательство: Mare Nostrum (Eurospan)
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Цена: 21318.00 р.
Наличие на складе: Нет в наличии.

Описание: Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component - modeling - to address real-life problems. The authors believe that modeling can be learned only by doing; hence a separate chapter containing 16 user-friendly case studies of elliptic, parabolic, and hyperbolic equations is included and numerous exercises are included in all other chapters.

Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces

Автор: Rouhani, Behzad Djafari
Название: Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces
ISBN: 0367780127 ISBN-13(EAN): 9780367780128
Издательство: Taylor&Francis
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Цена: 7348.00 р.
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Описание: This book deals with first and second order evolution and difference monotone type equations. The approach followed in the book was first introduced by Dr. Djafari-Rouhani, and later advanced by him along with Dr. Khatibzadeh.

Global Bifurcation Theory and Hilbert`s Sixteenth Problem

Автор: V. Gaiko
Название: Global Bifurcation Theory and Hilbert`s Sixteenth Problem
ISBN: 1461348196 ISBN-13(EAN): 9781461348191
Издательство: Springer
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Цена: 6986.00 р.
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Описание: On the 8th of August 1900 outstanding German mathematician David Hilbert delivered a talk "Mathematical problems" at the Second Interna- tional Congress of Mathematicians in Paris. Lyapunov set forth and solved completely in the very wide class of cases a special problem of the qualitative theory: the problem of motion stability (154].

Biology in time and space

Автор: Keener, James P.
Название: Biology in time and space
ISBN: 1470454289 ISBN-13(EAN): 9781470454289
Издательство: Mare Nostrum (Eurospan)
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Цена: 12415.00 р.
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Описание: How do biological objects communicate, make structures, make measurements and decisions, search for food, i.e., do all the things necessary for survival? Designed for an advanced undergraduate audience, this book uses mathematics to begin to tell that story. It builds on a background in multivariable calculus, ordinary differential equations, and basic stochastic processes and uses partial differential equations as the framework within which to explore these questions.

Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs

Автор: Elemer E. Rosinger
Название: Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
ISBN: 0792352327 ISBN-13(EAN): 9780792352327
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Presents global actions of arbitrary Lie groups on large classes of generalised functions by using a novel parametric approach. This volume is addressed to graduate students involved in solving linear and nonlinear partial differential equations, and in particular, dealing with the Lie group symmetries of their classical or generalised solutions.

Partial differential equations and boundary value problems with Mathematica /

Автор: Kythe, Prem K.
Название: Partial differential equations and boundary value problems with Mathematica /
ISBN: 1584883146 ISBN-13(EAN): 9781584883142
Издательство: Taylor&Francis
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Цена: 22202.00 р.
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Описание: Incorporates the fourth version of the software package Mathematica (4.x). This title includes a section of Mathematica projects in each chapter, a chapter on Green`s functions, a chapter on boundary value problems, and material on inverse operators, Legendre functions, and Bessel functions.

Nonlinear Waves: A Geometrical Approach

Автор: Angela Slavova, Petar Popivanov
Название: Nonlinear Waves: A Geometrical Approach
ISBN: 9813271604 ISBN-13(EAN): 9789813271609
Издательство: World Scientific Publishing
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Цена: 12672.00 р.
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Описание:

This volume provides an in-depth treatment of several equations and systems of mathematical physics, describing the propagation and interaction of nonlinear waves as different modifications of these: the KdV equation, Fornberg-Whitham equation, Vakhnenko equation, Camassa-Holm equation, several versions of the NLS equation, Kaup-Kupershmidt equation, Boussinesq paradigm, and Manakov system, amongst others, as well as symmetrizable quasilinear hyperbolic systems arising in fluid dynamics.

Readers not familiar with the complicated methods used in the theory of the equations of mathematical physics (functional analysis, harmonic analysis, spectral theory, topological methods, a priori estimates, conservation laws) can easily be acquainted here with different solutions of some nonlinear PDEs written in a sharp form (waves), with their geometrical visualization and their interpretation. In many cases, explicit solutions (waves) having specific physical interpretation (solitons, kinks, peakons, ovals, loops, rogue waves) are found and their interactions are studied and geometrically visualized. To do this, classical methods coming from the theory of ordinary differential equations, the dressing method, Hirota's direct method and the method of the simplest equation are introduced and applied. At the end, the paradifferential approach is used.

This volume is self-contained and equipped with simple proofs. It contains many exercises and examples arising from the applications in mechanics, physics, optics and, quantum mechanics.

Separation of Variables for Partial Differential Equations

Автор: Cain, George , Meyer, Gunter H.
Название: Separation of Variables for Partial Differential Equations
ISBN: 036744643X ISBN-13(EAN): 9780367446437
Издательство: Taylor&Francis
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Цена: 9492.00 р.
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Описание: This complete, self-contained book presents many realistic applications beyond the usual model problems. It concentrates on the method of separation of variables for PDEs, which remains an integral part of the training in applied mathematics. Beyond the usual model problems, the book includes a number of realistic applications that illustrate th


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