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Recent Developments in Well-Posed Variational Problems, Roberto Lucchetti; Julian Revalski


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Автор: Roberto Lucchetti; Julian Revalski
Название:  Recent Developments in Well-Posed Variational Problems
ISBN: 9789048145782
Издательство: Springer
Классификация: ISBN-10: 9048145783
Обложка/Формат: Paperback
Страницы: 268
Вес: 0.39 кг.
Дата издания: 06.12.2010
Серия: Mathematics and Its Applications
Язык: English
Размер: 234 x 156 x 15
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This volume contains several surveys focused on the ideas of approximate solutions, well-posedness and stability of problems in scalar and vector optimization, game theory and calculus of variations. These concepts are of particular interest in many fields of mathematics. The idea of stability goes back at least to J. Hadamard who introduced it in the setting of differential equations; the concept of well-posedness for minimum problems is more recent (the mid-sixties) and originates with A.N. Tykhonov. It turns out that there are connections between the two properties in the sense that a well-posed problem which, at least in principle, is easy to solve, has a solution set that does not vary too much under perturbation of the data of the problem, i.e. it is stable. These themes have been studied in depth for minimum problems and now we have a general picture of the related phenomena in this case. But, of course, the same concepts can be studied in other more complicated situations as, e.g. vector optimization, game theory and variational inequalities. Let us mention that in several of these new areas there is not even a unique idea of what should be called approximate solution, and the latter is at the basis of the definition of well- posed problem.

Topological Methods for Variational Problems with Symmetries

Автор: Thomas Bartsch
Название: Topological Methods for Variational Problems with Symmetries
ISBN: 354057378X ISBN-13(EAN): 9783540573784
Издательство: Springer
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Цена: 23250.00 T
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Описание: This monograph is concerned with Lusternik-Schnirelmann theory and Morse-Conley theory for group invariant functions. These topological methods are developed in detail with new calculations and then applied to various problems. Some familiarity with basic algebraic topology is assumed.

Recent Developments in Well-Posed Variational Problems

Автор: Roberto Lucchetti; Julian Revalski
Название: Recent Developments in Well-Posed Variational Problems
ISBN: 0792335767 ISBN-13(EAN): 9780792335764
Издательство: Springer
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Цена: 88500.00 T
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Описание: The increasing complexity of mathematical models, and the related need to introduce simplifying assumptions and numerical approximations, has led to the need to consider approximate solutions. This book is intended for researchers and graduate students studying variational problems, nonlinear analysis, optimization, and game theory.

Ill-posed Variational Problems and Regularization Techniques

Автор: Michel Thera; Rainer Tichatschke
Название: Ill-posed Variational Problems and Regularization Techniques
ISBN: 3540663231 ISBN-13(EAN): 9783540663232
Издательство: Springer
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Цена: 102480.00 T
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Описание: Developments in the field of ill-posed variational problems and variational inequalities are presented here. The work covers a large range of theoretical, numerical and practical aspects.

Variational Methods in Image Processing

Автор: Vese
Название: Variational Methods in Image Processing
ISBN: 1439849730 ISBN-13(EAN): 9781439849736
Издательство: Taylor&Francis
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Цена: 91860.00 T
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Описание:

Variational Methods in Image Processing presents the principles, techniques, and applications of variational image processing. The text focuses on variational models, their corresponding Euler-Lagrange equations, and numerical implementations for image processing. It balances traditional computational models with more modern techniques that solve the latest challenges introduced by new image acquisition devices.

The book addresses the most important problems in image processing along with other related problems and applications. Each chapter presents the problem, discusses its mathematical formulation as a minimization problem, analyzes its mathematical well-posedness, derives the associated Euler-Lagrange equations, describes the numerical approximations and algorithms, explains several numerical results, and includes a list of exercises. MATLAB(R) codes are available online.

Filled with tables, illustrations, and algorithms, this self-contained textbook is primarily for advanced undergraduate and graduate students in applied mathematics, scientific computing, medical imaging, computer vision, computer science, and engineering. It also offers a detailed overview of the relevant variational models for engineers, professionals from academia, and those in the image processing industry.


Multiple Solutions of Boundary Value Problems: A Variational Approach

Автор: Graef John R., Kong Lingju
Название: Multiple Solutions of Boundary Value Problems: A Variational Approach
ISBN: 9814696544 ISBN-13(EAN): 9789814696548
Издательство: World Scientific Publishing
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Цена: 92930.00 T
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Описание: Variational methods and their generalizations have been verified to be useful tools in proving the existence of solutions to a variety of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations.

Direct Variational Methods and Eigenvalue Problems in Engineering

Автор: U. Leipholz
Название: Direct Variational Methods and Eigenvalue Problems in Engineering
ISBN: 9028601066 ISBN-13(EAN): 9789028601062
Издательство: Springer
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Цена: 200260.00 T
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Variational Problems in Riemannian Geometry

Автор: Paul Baird; Ahmad El Soufi; Ali Fardoun; Rachid Re
Название: Variational Problems in Riemannian Geometry
ISBN: 3034896409 ISBN-13(EAN): 9783034896405
Издательство: Springer
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Цена: 93160.00 T
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Описание: This volume has grown from a conference entitled Harmonic Maps, Minimal Sur- faces and Geometric Flows which was held at the Universite de Bretagne Occi- dentale from July 7th-12th, 2002, in the town of Brest in Brittany, France. We welcomed many distinguished mathematicians from around the world and a dy- namic meeting took place, with many fruitful exchanges of ideas. In order to produce a work that would have lasting value to the mathematical community, the organisers decided to invite a small number of participants to write in-depth articles around a common theme. These articles provide a balance between introductory surveys and ones that present the newest results that lie at the frontiers of research. We thank these mathematicians, all experts in their field, for their contributions. Such meetings depend on the support of national organisations and the local community and we would like to thank the following: the Ministere de l'Education Nationale, Ministere des Affaires Etrangeres, Centre National de Recherche Sci en- tifique (CNRS), Conseil Regional de Bretagne, Conseil General du Finistere, Com- munaute Urbaine de Brest, Universite de Bretagne Occidentale (UBO), Faculte des Sciences de l'UBO, Laboratoire de Mathematiques de l'UBO and the Departement de Mathematiques de l'UBO. Their support was generous and ensured the success of the meeting. We would also like to thank the members of the scientific committee for their advice and for their participation in the conception and composition of this volume: Pierre Berard, Jean-Pierre Bourguignon, Frederic Helein, Seiki Nishikawa and Franz Pedit.

Nonconvex Optimal Control and Variational Problems

Автор: Alexander J. Zaslavski
Название: Nonconvex Optimal Control and Variational Problems
ISBN: 1461473772 ISBN-13(EAN): 9781461473770
Издательство: Springer
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Цена: 93160.00 T
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Описание: This volume contains results concerning well-posedness of optimal control and variational problems, nonoccurrence of the Lavrentiev phenomenon for optimal control and variational problems, and turnpike properties of approximate solutions.

Finite-Dimensional Variational Inequalities and Complementarity Problems

Автор: Francisco Facchinei; Jong-Shi Pang
Название: Finite-Dimensional Variational Inequalities and Complementarity Problems
ISBN: 1441930647 ISBN-13(EAN): 9781441930644
Издательство: Springer
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Цена: 75420.00 T
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Описание: This is part two of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It details algorithms for solving finite dimensional variational inequalities and complementarity problems.

Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

Автор: Martin Fuchs; Gregory Seregin
Название: Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids
ISBN: 3540413979 ISBN-13(EAN): 9783540413974
Издательство: Springer
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Цена: 71690.00 T
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Описание: Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model.

Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems

Автор: Yasuyuki Suzuki; Kalman Varga
Название: Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems
ISBN: 3540651527 ISBN-13(EAN): 9783540651529
Издательство: Springer
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Цена: 121890.00 T
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Описание: This book gives a simple, unified recipe to obtain precise solutions to virtually any few-body bound state problem and presents its application to various problems in atomic, molecular, nuclear, subnuclear and solid state physics.

Variational Methods Applied to Problems of Diffusion and Reaction

Автор: William Strieder; R. Aris
Название: Variational Methods Applied to Problems of Diffusion and Reaction
ISBN: 3642656269 ISBN-13(EAN): 9783642656262
Издательство: Springer
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Цена: 83850.00 T
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