Spectral Geometry of Partial Differential Operators (Open Access), Ruzhansky, Michael , Sadybekov, Makhmud , Suraga

Автор: Edmunds, David (emeritus Professor (mathematics, Analysis And Partial Differential Equations Research Group), University Of Sussex) Evans, Des (emerit
Название: Spectral theory and differential operators
ISBN: 0198812051 ISBN-13(EAN): 9780198812050
Издательство: Oxford Academ
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Цена: 153120.00 T
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Описание: This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.

Автор: Edmunds David E., Lang Jan, Mendez Osvaldo
Название: Differential Operators on Spaces of Variable Integrability
ISBN: 9814596310 ISBN-13(EAN): 9789814596312
Издательство: World Scientific Publishing
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Цена: 65470.00 T
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Описание: The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much vigorous research by functional analysts, function-space analysts and specialists in nonlinear analysis. These spaces have attracted attention not only because of their intrinsic mathematical importance as natural, interesting examples of non-rearrangement-invariant function spaces but also in view of their applications, which include the mathematical modeling of electrorheological fluids and image restoration.The main focus of this book is to provide a solid functional-analytic background for the study of differential operators on spaces with variable integrability. It includes some novel stability phenomena which the authors have recently discovered.At the present time, this is the only book which focuses systematically on differential operators on spaces with variable integrability. The authors present a concise, natural introduction to the basic material and steadily move toward differential operators on these spaces, leading the reader quickly to current research topics.

Автор: Man-Wah Wong; Hongmei Zhu
Название: Pseudo-Differential Operators: Groups, Geometry and Applications
ISBN: 3319475118 ISBN-13(EAN): 9783319475110
Издательство: Springer
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Цена: 93160.00 T
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Описание: Pseudo-Differential Operators on the Affine Group.- Pseudo-Differential Operators on Non-Isotropic Heisenberg Groups with Multi-Dimensional Center.- Curvatures of the Heisenberg Group.- Ellipticity with Global Projection Conditions.- Multilinear Localization Operators Associated to Quaternion Fourier Transforms.- A Time-Frequency Relationship between the Langevin Equation and the Harmonic Oscillator.- Are There Quantum Operators and Wave Functions in Standard Probability Theory.- A Class of Non-Markovian Pseudo-Differential Operators of Lйvy Type.- On the Solvability of Some Systems of Integro-Differential Equations with Anomalous Diffusion.- Visualizing Discrete Complex-Valued Time-Frequency Representations.- The Reassigned Spectrogram of the Stockwell transform.- Continuous Multi-Wavelet Transforms for Blind Signal Separation.

Автор: V.A. Il`in
Название: Spectral Theory of Differential Operators
ISBN: 0306110377 ISBN-13(EAN): 9780306110375
Издательство: Springer
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Цена: 74490.00 T
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Описание: In this fully-illustrated textbook, the author examines the spectral theory of self-adjoint elliptic operators. The author`s work offers a novel method for estimation of the remainder term of a spectral function and its Riesz means without recourse to the traditional Carleman technique and Tauberian theorem apparatus.

Автор: Joachim Weidmann
Название: Spectral Theory of Ordinary Differential Operators
ISBN: 354017902X ISBN-13(EAN): 9783540179023
Издательство: Springer
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Цена: 32560.00 T
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Описание: They give a complete spectral theory for ordinary differential expressions of arbitrary order n operating on -valued functions existence and construction of self-adjoint realizations via boundary conditions, determination and study of general properties of the resolvent, spectral representation and spectral resolution.

Автор: Edmunds D. E., Evans W. D.
Название: Elliptic Differential Operators and Spectral Analysis
ISBN: 3030021246 ISBN-13(EAN): 9783030021245
Издательство: Springer
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Цена: 121110.00 T
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Описание: This book deals with elliptic differential equations, providing the analytic background necessary for the treatment of associated spectral questions, and covering important topics previously scattered throughout the literature.Starting with the basics of elliptic operators and their naturally associated function spaces, the authors then proceed to cover various related topics of current and continuing importance. Particular attention is given to the characterisation of self-adjoint extensions of symmetric operators acting in a Hilbert space and, for elliptic operators, the realisation of such extensions in terms of boundary conditions. A good deal of material not previously available in book form, such as the treatment of the Schauder estimates, is included. Requiring only basic knowledge of measure theory and functional analysis, the book is accessible to graduate students and will be of interest to all researchers in partial differential equations. The reader will value its self-contained, thorough and unified presentation of the modern theory of elliptic operators.

Автор: Johannes Sj?strand
Название: Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
ISBN: 303010818X ISBN-13(EAN): 9783030108182
Издательство: Springer
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Цена: 102480.00 T
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Описание: The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago.In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases). A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book.Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.

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
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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: Norbert Ortner; Peter Wagner
Название: Fundamental Solutions of Linear Partial Differential Operators
ISBN: 3319367994 ISBN-13(EAN): 9783319367996
Издательство: Springer
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Цена: 88500.00 T
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Описание: This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations.

Автор: Marco Biroli
Название: Potential Theory and Degenerate Partial Differential Operators
ISBN: 0792335961 ISBN-13(EAN): 9780792335962
Издательство: Springer
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Цена: 119210.00 T
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Описание: This work discusses the blending of potential theory, probability and degenerate partial differential operators. The theory of Dirichlet (Markovian) which forms on an abstract finite or infinite-dimensional space is common to all three disciplines and is investigated here.

Автор: A.A. Pankov
Название: G-Convergence and Homogenization of Nonlinear Partial Differential Operators
ISBN: 079234720X ISBN-13(EAN): 9780792347200
Издательство: Springer
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Цена: 88500.00 T
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Описание: Deals with G-convergence and homogenization for various classes of nonlinear partial differential operators. This work is suitable for researchers whose work involves homogenization theory and its applications. It is also recommended for advanced courses in the fields of partial differential equations and nonlinear analysis.

Автор: Fernando A. Cardoso; Djairo G. de Figueiredo; Rafa
Название: Partial Differential Operators
ISBN: 3540501118 ISBN-13(EAN): 9783540501114
Издательство: Springer
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Цена: 46540.00 T
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Описание: The Latin American School of Mathematics (ELAM) is one of the most important mathematical events in Latin America. It has been held every other year since 1968 in a different country of the region, and its theme varies according to the areas of interest of local research groups.