Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces, Ariel Barton, Svitlana Mayboroda
Автор: Lopez Gomez Julian Название: Linear Second Order Elliptic Operators ISBN: 9814440248 ISBN-13(EAN): 9789814440240 Издательство: World Scientific Publishing Цена: 48570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The main goal of the book is to provide a comprehensive and self-contained proof of the, relatively recent, theorem of characterization of the strong maximum principle due to Molina-Meyer and the author, published in Diff. Int. Eqns. in 1994, which was later refined by Amann and the author in a paper published in J. of Diff. Eqns. in 1998. Besides this characterization has been shown to be a pivotal result for the development of the modern theory of spatially heterogeneous nonlinear elliptic and parabolic problems; it has allowed us to update the classical theory on the maximum and minimum principles by providing with some extremely sharp refinements of the classical results of Hopf and Protter-Weinberger. By a celebrated result of Berestycki, Nirenberg and Varadhan, Comm. Pure Appl. Maths. in 1994, the characterization theorem is partially true under no regularity constraints on the support domain for Dirichlet boundary conditions.Instead of encyclopedic generality, this book pays special attention to completeness, clarity and transparency of its exposition so that it can be taught even at an advanced undergraduate level. Adopting this perspective, it is a textbook; however, it is simultaneously a research monograph about the maximum principle, as it brings together for the first time in the form of a book, the most paradigmatic classical results together with a series of recent fundamental results scattered in a number of independent papers by the author of this book and his collaborators.Chapters 3, 4, and 5 can be delivered as a classical undergraduate, or graduate, course in Hilbert space techniques for linear second order elliptic operators, and Chaps. 1 and 2 complete the classical results on the minimum principle covered by the paradigmatic textbook of Protter and Weinberger by incorporating some recent classification theorems of supersolutions by Walter, 1989, and the author, 2003. Consequently, these five chapters can be taught at an undergraduate, or graduate, level. Chapters 6 and 7 study the celebrated theorem of Krein-Rutman and infer from it the characterizations of the strong maximum principle of Molina-Meyer and Amann, in collaboration with the author, which have been incorporated to a textbook by the first time here, as well as the results of Chaps. 8 and 9, polishing some recent joint work of Cano-Casanova with the author. Consequently, the second half of the book consists of a more specialized monograph on the maximum principle and the underlying principal eigenvalues.
Автор: Vladimir Maz`ya; B. Plamenevskij; Serguei Nazarov; Название: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II ISBN: 3764363983 ISBN-13(EAN): 9783764363987 Издательство: Springer Рейтинг: Цена: 195610.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors` work, and has no significant overlap with other books on the theory of elliptic boundary value problems
Автор: Vladimir Maz`ya; Serguei Nazarov; Boris Plamenevsk Название: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains ISBN: 3764363975 ISBN-13(EAN): 9783764363970 Издательство: Springer Рейтинг: Цена: 195610.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors` work, and has no significant overlap with other books on the theory of elliptic boundary value problems.
Автор: E. Polishchuk Название: Continual Means and Boundary Value Problems in Function Spaces ISBN: 3764322179 ISBN-13(EAN): 9783764322175 Издательство: Springer Рейтинг: Цена: 74490.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The fates of important mathematical ideas are varied. Polishchuk, reconstructs and develops one of the dir.ctions in functional analysis that originated from Hadamard and Gateaux and was newly thought over and taken as the basis of a prospective theory by Paul Levy.
Автор: Y. Roitberg Название: Boundary Value Problems in the Spaces of Distributions ISBN: 0792360257 ISBN-13(EAN): 9780792360254 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph presents elliptic, parabolic and hyperbolic boundary value problems for systems of mixed orders (Douglis-Nirenberg systems). For these problems the theorem on complete collection of isomorphisms is proven. Several applications in elasticity and hydrodynamics are treated.
Автор: Alex Amenta, Pascal Auscher Название: Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach ISBN: 1470442507 ISBN-13(EAN): 9781470442507 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 108680.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called ``first order approach'' which uses minimal assumptions on the coefficients and thus allows for complex coefficients and for systems of equations.This self-contained exposition of the first order approach offers new results with detailed proofs in a clear and accessible way and will become a valuable reference for graduate students and researchers working in partial differential equations and harmonic analysis.
Автор: Y. Roitberg Название: Elliptic Boundary Value Problems in the Spaces of Distributions ISBN: 0792343034 ISBN-13(EAN): 9780792343035 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Endeavours to summarise various data on the theorems on isomorphisms and their increasing number of possible applications. This title deals with the theory of solvability in generalised functions of general boundary-value problems for elliptic equations.
Автор: Alexander Andreevych Boichuk, Anatolii M. Samoilen Название: Generalized Inverse Operators: And Fredholm Boundary-Value Problems ISBN: 3110378396 ISBN-13(EAN): 9783110378399 Издательство: Walter de Gruyter Цена: 161100.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book is devoted to the foundations of the theory of boundary-value problems for various classes of systems of differential-operator equations whose linear part is represented by Fredholm operators of the general form. A common point of view on numerous classes of problems that were traditionally studied independently of each other enables us to study, in a natural way, the theory of these problems, to supplement and improve the existing results, and in certain cases, study some of these problems for the first time.With the help of the technique of generalized inverse operators, the Vishik– Lyusternik method, and iterative methods, we perform a detailed investigation of the problems of existence, bifurcations, and branching of the solutions of linear and nonlinear boundary-value problems for various classes of differential-operator systems and propose new procedures for their construction.For more than 11 years that have passed since the appearance of the first edition of the monograph, numerous new publications of the authors in this direction have appeared. In this connection, it became necessary to make some additions and corrections to the previous extensively cited edition, which is still of signifi cant interest for the researchers.For researchers, teachers, post-graduate students, and students of physical and mathematical departments of universities. Contents:Preliminary InformationGeneralized Inverse Operators in Banach SpacesPseudoinverse Operators in Hilbert SpacesBoundary-Value Problems for Operator EquationsBoundary-Value Problems for Systems of Ordinary Differential EquationsImpulsive Boundary-Value Problems for Systems of Ordinary Differential EquationsSolutions of Differential and Difference Systems Bounded on the Entire Real Axis
Автор: Benedict Baur Название: Elliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift and Reflection ISBN: 3658058285 ISBN-13(EAN): 9783658058289 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Benedict Baur presents modern functional analytic methods for construction and analysis of Feller processes in general and diffusion processes in particular.
Автор: G?rlebeck; Spr?ssig Название: Quaternionic Analysis and Elliptic Boundary Value Problems ISBN: 3034872976 ISBN-13(EAN): 9783034872973 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Monique Dauge Название: Elliptic Boundary Value Problems on Corner Domains ISBN: 354050169X ISBN-13(EAN): 9783540501695 Издательство: Springer Рейтинг: Цена: 41920.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Focuses on a large class of variational elliptic problems with mixed boundary conditions on domains with various corner singularities, edges, polyhedral vertices, cracks, and slits. This research monograph characterizes Fredholm and semi-Fredholm properties of induced operators in a natural functional framework.
