Multidimensional Singular Integrals And Integral Equations Transl From The Russian By W J A Whyte
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Multidimensional Singular Integrals And Integral Equations
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Author : S. G. Mikhlin
language : en
Publisher: Elsevier
Release Date : 2014-07-10
Multidimensional Singular Integrals And Integral Equations written by S. G. Mikhlin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Mathematics categories.
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.
Multidimensional Singular Integrals And Integral Equations Transl From The Russian By W J A Whyte
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Author : S. G. Mikhlin
language : en
Publisher:
Release Date : 1965
Multidimensional Singular Integrals And Integral Equations Transl From The Russian By W J A Whyte written by S. G. Mikhlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
Singularly Perturbed Boundary Value Problems
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Author : Matteo Dalla Riva
language : en
Publisher: Springer Nature
Release Date : 2021-10-01
Singularly Perturbed Boundary Value Problems written by Matteo Dalla Riva and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-01 with Mathematics categories.
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.
Analysis And Partial Differential Equations Perspectives From Developing Countries
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Author : Julio Delgado
language : en
Publisher: Springer
Release Date : 2019-01-27
Analysis And Partial Differential Equations Perspectives From Developing Countries written by Julio Delgado and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-27 with Mathematics categories.
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.
The Functional Calculus For Sectorial Operators
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Author : Markus Haase
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-18
The Functional Calculus For Sectorial Operators written by Markus Haase and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-18 with Mathematics categories.
This book contains a systematic and partly axiomatic treatment of the holomorphic functional calculus for unbounded sectorial operators. The account is generic so that it can be used to construct and interrelate holomorphic functional calculi for other types of unbounded operators. Particularly, an elegant unified approach to holomorphic semigroups is obtained. The last chapter describes applications to PDE, evolution equations and approximation theory as well as the connection with harmonic analysis.
Uniqueness Theorems In Linear Elasticity
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Author : Robin J. Knops
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Uniqueness Theorems In Linear Elasticity written by Robin J. Knops and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The classical result for uniqueness in elasticity theory is due to Kirchhoff. It states that the standard mixed boundary value problem for a homogeneous isotropic linear elastic material in equilibrium and occupying a bounded three-dimensional region of space possesses at most one solution in the classical sense, provided the Lame and shear moduli, A and J1 respectively, obey the inequalities (3 A + 2 J1) > 0 and J1>O. In linear elastodynamics the analogous result, due to Neumann, is that the initial-mixed boundary value problem possesses at most one solution provided the elastic moduli satisfy the same set of inequalities as in Kirchhoffs theorem. Most standard textbooks on the linear theory of elasticity mention only these two classical criteria for uniqueness and neglect altogether the abundant literature which has appeared since the original publications of Kirchhoff. To remedy this deficiency it seems appropriate to attempt a coherent description ofthe various contributions made to the study of uniqueness in elasticity theory in the hope that such an exposition will provide a convenient access to the literature while at the same time indicating what progress has been made and what problems still await solution. Naturally, the continuing announcement of new results thwarts any attempt to provide a complete assessment. Apart from linear elasticity theory itself, there are several other areas where elastic uniqueness is significant.
Proceedings Of A Razmadze Mathematical Institute
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Author :
language : en
Publisher:
Release Date : 2005
Proceedings Of A Razmadze Mathematical Institute written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Catalog Of Copyright Entries Third Series
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Author : Library of Congress. Copyright Office
language : en
Publisher: Copyright Office, Library of Congress
Release Date : 1968
Catalog Of Copyright Entries Third Series written by Library of Congress. Copyright Office and has been published by Copyright Office, Library of Congress this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Copyright categories.
Multidimensional Singular Integrals And Integral Equations Translated From The Russian By W J A White Translation Edited By I N Sneddon
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Author : Solomon Grigorʹevich Mikhlin
language : en
Publisher:
Release Date : 1965
Multidimensional Singular Integrals And Integral Equations Translated From The Russian By W J A White Translation Edited By I N Sneddon written by Solomon Grigorʹevich Mikhlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Integrals categories.
University Of California Union Catalog Of Monographs Cataloged By The Nine Campuses From 1963 Through 1967 Authors Titles
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Author : University of California (System). Institute of Library Research
language : en
Publisher:
Release Date : 1972
University Of California Union Catalog Of Monographs Cataloged By The Nine Campuses From 1963 Through 1967 Authors Titles written by University of California (System). Institute of Library Research and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Library catalogs categories.