Многомерные сингулярные интегралы и интегральные уравнения. Multidimensional singular integrals and integral equations. Translated ... by W. J. A. Whyte. Translation edited by I. N. Sneddon PDF Download
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Author: Solomon Grigor'evich MIKHLIN
Publisher:
ISBN:
Category :
Languages : en
Pages : 259
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Book Description
Author: Solomon Grigor'evich MIKHLIN
Publisher:
ISBN:
Category :
Languages : en
Pages : 259
Get Book Here
Book Description
Author: Solomon Grigorʹevich Mikhlin
Publisher:
ISBN:
Category : Integrals
Languages : en
Pages : 259
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Book Description
Author: S. G. Mikhlin
Publisher: Elsevier
ISBN: 1483164497
Category : Mathematics
Languages : en
Pages : 273
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Book Description
Multidimensional Singular Integrals and Integral Equations presents the results of the theory of multidimensional singular integrals and of equations containing such integrals. Emphasis is on singular integrals taken over Euclidean space or in the closed manifold of Liapounov and equations containing such integrals. This volume is comprised of eight chapters and begins with an overview of some theorems on linear equations in Banach spaces, followed by a discussion on the simplest properties of multidimensional singular integrals. Subsequent chapters deal with compounding of singular integrals; properties of the symbol, with particular reference to Fourier transform of a kernel and the symbol of a singular operator; singular integrals in Lp spaces; and singular integral equations. The differentiation of integrals with a weak singularity is also considered, along with the rule for the multiplication of the symbols in the general case. The final chapter describes several applications of multidimensional singular integral equations to boundary problems in mathematical physics. This book will be of interest to mathematicians and students of mathematics.
Author: S. G. Mikhlin
Publisher:
ISBN:
Category :
Languages : en
Pages : 259
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Book Description
Author: Matteo Dalla Riva
Publisher: Springer Nature
ISBN: 3030762599
Category : Mathematics
Languages : en
Pages : 672
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Book Description
This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation parameter is the size of the holes. The book is the first introduction to the topic and covers the theoretical material and its applications to a series of problems that range from simple illustrative examples to more involved research results. The Functional Analytic Approach makes constant use of the integral representation method for the solutions of boundary value problems, of Potential Theory, of the Theory of Analytic Functions both in finite and infinite dimension, and of Nonlinear Functional Analysis. Designed to serve various purposes and readerships, the extensive introductory part spanning Chapters 1–7 can be used as a reference textbook for graduate courses on classical Potential Theory and its applications to boundary value problems. The early chapters also contain results that are rarely presented in the literature and may also, therefore, attract the interest of more expert readers. The exposition moves on to introduce the Functional Analytic Approach. A reader looking for a quick introduction to the method can find simple illustrative examples specifically designed for this purpose. More expert readers will find a comprehensive presentation of the Functional Analytic Approach, which allows a comparison between the approach of the book and the more classical expansion methods of Asymptotic Analysis and offers insights on the specific features of the approach and its applications to linear and nonlinear boundary value problems.
Author: Julio Delgado
Publisher: Springer
ISBN: 3030056570
Category : Mathematics
Languages : en
Pages : 269
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Book Description
This volume presents current trends in analysis and partial differential equations from researchers in developing countries. The fruit of the project 'Analysis in Developing Countries', whose aim was to bring together researchers from around the world, the volume also includes some contributions from researchers from developed countries. Focusing on topics in analysis related to partial differential equations, this volume contains selected contributions from the activities of the project at Imperial College London, namely the conference on Analysis and Partial Differential Equations held in September 2016 and the subsequent Official Development Assistance Week held in November 2016. Topics represented include Fourier analysis, pseudo-differential operators, integral equations, as well as related topics from numerical analysis and bifurcation theory, and the countries represented range from Burkina Faso and Ghana to Armenia, Kyrgyzstan and Tajikistan, including contributions from Brazil, Colombia and Cuba, as well as India and China. Suitable for postgraduate students and beyond, this volume offers the reader a broader, global perspective of contemporary research in analysis.
Author: Solomon Grigor'evič Michlin
Publisher:
ISBN:
Category : Integral equations
Languages : en
Pages : 0
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Book Description
Author: Gennadi Vainikko
Publisher:
ISBN: 9783662171592
Category :
Languages : en
Pages : 180
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Book Description
Author: John Newton Pearce
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: E.G. Ladopoulos
Publisher: Springer Science & Business Media
ISBN: 3662042916
Category : Technology & Engineering
Languages : en
Pages : 569
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Book Description
The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, fluid mechanics, aerodynamics and elastodynamics. These types of singular integral equations form the latest high technology on the solution of very important problems of solid and fluid mechanics and therefore special attention should be given by the reader of the present book, who is interested for the new technology of the twentieth-one century. Chapter 1 is devoted with a historical report and an extended outline of References, for the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations. Chapter 2 provides a finite-part singular integral representation analysis in Lp spaces and in general Hilbert spaces. In the same Chapter are investigated all possible approximation methods for the numerical evaluation of the finite-part singular integral equations, as closed form solutions for the above type of integral equations are available only in simple cases. Also, Chapter 2 provides further a generalization of the well known Sokhotski-Plemelj formulae and the Nother theorems, for the case of a finite-part singular integral equation.
