Concentration Compactness: Functional-Analytic Theory of Concentration Phenomena, Cyril Tintarev

Автор: Ledoux, Michel
Название: Concentration of measure phenomenon
ISBN: 0821837923 ISBN-13(EAN): 9780821837924
Издательство: Turpin
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Цена: 91170.00 T
Наличие на складе: Невозможна поставка.
Описание: The observation of the concentration of measure phenomenon is inspired by isoperimetric inequalities. This book offers the basic techniques and examples of the concentration of measure phenomenon. It presents concentration functions and inequalities, isoperimetric and functional examples, spectrum and topological applications and product measures.

Автор: Martin F. Bach
Название: Variational Problems with Concentration
ISBN: 3034897294 ISBN-13(EAN): 9783034897297
Издательство: Springer
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Цена: 93160.00 T
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Описание: This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniques in detail, and derives several numerical methods approximating the concentration point and the free boundary. The corresponding plots are highlights of this book.

Автор: Liviu C. Florescu, Christiane Godet-Thobie
Название: Young Measures and Compactness in Measure Spaces
ISBN: 3110276402 ISBN-13(EAN): 9783110276404
Издательство: Walter de Gruyter
Цена: 185890.00 T
Наличие на складе: Невозможна поставка.
Описание: In recent years, technological progress created a great need for complex mathematical models. Many practical problems can be formulated using optimization theory and they hope to obtain an optimal solution. In most cases, such optimal solution can not be found. So, non-convex optimization problems (arising, e.g., in variational calculus, optimal control, nonlinear evolutions equations) may not possess a classical minimizer because the minimizing sequences have typically rapid oscillations. This behavior requires a relaxation of notion of solution for such problems; often we can obtain such a relaxation by means of Young measures. This monograph is a self-contained book which gathers all theoretical aspects related to the defining of Young measures (measurability, disintegration, stable convergence, compactness), a book which is also a useful tool for those interested in theoretical foundations of the measure theory. It provides a complete set of classical and recent compactness results in measure and function spaces.The book is organized in three chapters: The first chapter covers background material on measure theory in abstract frame. In the second chapter the measure theory on topological spaces is presented. Compactness results from the first two chapters are used to study Young measures in the third chapter. All results are accompanied by full demonstrations and for many of these results different proofs are given. All statements are fully justified and proved.

Автор: Adimurthi; K. Sandeep; Ian Schindler; Cyril Tintar
Название: Concentration Analysis and Applications to PDE
ISBN: 3034803729 ISBN-13(EAN): 9783034803724
Издательство: Springer
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Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Concentration analysis provides, in settings without a priori available compactness, a manageable structural description for the functional sequences intended to approximate solutions of partial differential equations.