Fundamental Solutions and Local Solvability for Nonsmooth Hormander`s Operators, Marco Bramanti, Luca Brandolini, Maria Manfredini, Marco Pedroni
Автор: Pierluigi Colli; Angelo Favini; Elisabetta Rocca; Название: Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs ISBN: 3319644882 ISBN-13(EAN): 9783319644882 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics.
Many of the operators one meets in several complex variables, such as the famous Lewy operator, are not locally solvable. Nevertheless, such an operator L can be thoroughly studied if one can find a suitable relative parametrix--an operator K such that LK is essentially the orthogonal projection onto the range of L. The analysis is by far most decisive if one is able to work in the real analytic, as opposed to the smooth, setting. With this motivation, the author develops an analytic calculus for the Heisenberg group. Features include: simple, explicit formulae for products and adjoints; simple representation-theoretic conditions, analogous to ellipticity, for finding parametrices in the calculus; invariance under analytic contact transformations; regularity with respect to non-isotropic Sobolev and Lipschitz spaces; and preservation of local analyticity. The calculus is suitable for doing analysis on real analytic strictly pseudoconvex CR manifolds. In this context, the main new application is a proof that the Szego projection preserves local analyticity, even in the three-dimensional setting. Relative analytic parametrices are also constructed for the adjoint of the tangential Cauchy-Riemann operator.
Originally published in 1990.
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Автор: Georgii S. Litvinchuk Название: Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift ISBN: 0792365496 ISBN-13(EAN): 9780792365495 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Devoted to the solvability theory of characteristic singular integral equations and corresponding boundary value problems for analytic functions with a Carleman and non-Carleman shift. This title discusses the applications to mechanics, physics, and geometry of surfaces. It also contains a survey of the literature on closely related topics.
Автор: R. M. Dudley; J. Qian; R. Norvai?a Название: Differentiability of Six Operators on Nonsmooth Functions and p-Variation ISBN: 3540659757 ISBN-13(EAN): 9783540659754 Издательство: Springer Рейтинг: Цена: 37220.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Concerns the differentiability of six operators on functions or pairs of functions, composition (f of g), integration (of f dg), multiplication and convolution of two functions, and the product integral and inverse operators for one function. Knowledge of basic real analysis is essential.
Автор: F. Giannessi; A. Maugeri; Panos M. Pardalos Название: Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models ISBN: 1402001614 ISBN-13(EAN): 9781402001611 Издательство: Springer Рейтинг: Цена: 153720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases.
Автор: Pierre Alart; Olivier Maisonneuve; R. Tyrrell Rock Название: Nonsmooth Mechanics and Analysis ISBN: 1441939768 ISBN-13(EAN): 9781441939760 Издательство: Springer Рейтинг: Цена: 191550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Convex and Nonsmooth Analysis.- Moreau's Proximal Mappings and Convexity in Hamilton-Jacobi Theory.- Three Optimization Problems in Mass Transportation Theory.- Some Geometrical and Algebraic Properties of Various Types of Convex Hulls.- A Note on the Legendre-Fenchel Transform of Convex Composite Functions.- What Is to be a Mean?.- Nonsmooth Mechanics.- Thermoelastic Contact with Frictional Heating.- A Condition for Statical Admissibility in Unilateral Structural Analysis.- Min-Max Duality and Shakedown Theorems in Plasticity.- Friction and Adhesion.- The Clausius-Duhem Inequality, an Interesting and Productive Inequality.- Unilateral Crack Identification.- Penalty Approximation of Painlevй Problem.- Discrete Contact Problems with Friction: A Stress-Based Approach.- Fluid Mechanics.- A Brief History of Drop Formation.- Semiclassical Approach of the "Tetrad Model" of Turbulence.- Multibody Dynamics: Numerical Aspects.- The Geometry Of Newton's Cradle.- Using Nonsmooth Analysis for Numerical Simulation of Contact Mechanics.- Numerical Simulation of a Multibody Gas.- Granular Media and Ballasted Railway Tracks Milieux Granulaires Et Voies Ballastйes.- Scaling Behaviour of Velocity Fluctuations in Slow Granular Flows.- Topics in Nonsmooth Science.- Morphological Equations and Sweeping Processes.- Higher Order Moreau's Sweeping Process.- An Existence Result in Non-Smooth Dynamics.- Finite Time Stabilization of Nonlinear Oscillators Subject to dry Friction.- Canonical Duality in Nonsmooth, Constrained Concave Minimization.
Автор: Jiri Outrata; M. Kocvara; J. Zowe Название: Nonsmooth Approach to Optimization Problems with Equilibrium Constraints ISBN: 0792351703 ISBN-13(EAN): 9780792351702 Издательство: Springer Рейтинг: Цена: 176970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presents an in-depth study and a solution technique for an important class of optimization problems. This book begins with a chapter on auxiliary results followed by a description of the main numerical tools: a bundle method of nonsmooth optimization and a nonsmooth variant of Newton`s method.
Автор: Vladimir F. Demyanov; Panos M. Pardalos; Mikhail B Название: Constructive Nonsmooth Analysis and Related Topics ISBN: 1493946315 ISBN-13(EAN): 9781493946310 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume contains papers from the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg, Russia, June 2012. It explores this powerful instrument in applied mathematics.
Автор: Adil Bagirov; Napsu Karmitsa; Marko M. M?kel? Название: Introduction to Nonsmooth Optimization ISBN: 331934627X ISBN-13(EAN): 9783319346274 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). The book covers both the theory and the numerical methods used in NSO and provide an overview of different problems arising in the field. a guide to NSO software.The book is ideal for anyone teaching or attending NSO courses.
Автор: Monteiro Marques Название: Differential Inclusions in Nonsmooth Mechanical Problems ISBN: 3034876165 ISBN-13(EAN): 9783034876162 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: F. Giannessi; A. Maugeri; Panos M. Pardalos Название: Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models ISBN: 144195208X ISBN-13(EAN): 9781441952080 Издательство: Springer Рейтинг: Цена: 153720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases.
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