Описание: This book proposes a unified method for the construction of near-minimizers for certain important functions, which arise in approximation, harmonic analysis and ill-posed problems and are most widely used in interpolation theory.
Автор: Xiaochun Liu; Bert-Wolfgang Schulze Название: Boundary Value Problems with Global Projection Conditions ISBN: 3319701134 ISBN-13(EAN): 9783319701134 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to analogues of Toeplitz operators in subspaces of Sobolev spaces on the boundary associated with pseudo-differential projections. The book describes how these operator classes form algebras, and establishes the concept for Boutet de Monvel’s calculus, as well as for operators on manifolds with edges, including the case of operators without the transmission property. Further, it shows how the calculus contains parametrices of elliptic elements. Lastly, the book describes natural connections to ellipticity of Atiyah-Patodi-Singer type for Dirac and other geometric operators, in particular spectral boundary conditions with Calder?n-Seeley projections and the characterization of Cauchy data spaces.
Автор: Leathem Название: Volume and Surface Integrals Used in Physics ISBN: 1107493811 ISBN-13(EAN): 9781107493810 Издательство: Cambridge Academ Рейтинг: Цена: 3008.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: First published in 1913, as the second edition of a 1905 original, this book is the first volume in the Cambridge Tracts in Mathematics and Mathematical Physics Series. The text provides a concise account regarding volume and surface integrals used in physics.
Автор: Street Brian Название: Multi-Parameter Singular Integrals. (Am-189) ISBN: 0691162522 ISBN-13(EAN): 9780691162522 Издательство: Wiley Рейтинг: Цена: 11880.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls. Brian Street first details the classical theory of Calderon-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Caratheodory geometry, where the main
Описание: Benedict Baur presents modern functional analytic methods for construction and analysis of Feller processes in general and diffusion processes in particular.
Описание: This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in singular perturbation theory. A key notion of this approach is the Lax-Berezansky triple of Hilbert spaces embedded one into another, which specifies the well-known Gelfand topological triple. All kinds of singular interactions described by potentials supported on small sets (like the Dirac ?-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the Birman-Krein-Vishik theory of self-adjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces. The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems.
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.
Описание: Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques.
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