Multidimensional Singular Integrals And Integral Equations

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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

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Author : John Newton Pearce
language : en
Publisher:
Release Date : 1965

Multidimensional Singular Integrals And Integral Equations written by John Newton Pearce 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.

Multidimensional Singular Integrals And Integral Equations

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Author : Solomon Grigor'evič Michlin
language : en
Publisher:
Release Date : 1965

Multidimensional Singular Integrals And Integral Equations written by Solomon Grigor'evič Michlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Integral equations categories.

Singular Integral Equations

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Author : E.G. Ladopoulos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Singular Integral Equations written by E.G. Ladopoulos 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 2013-03-09 with Computers categories.

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.

Multidimensional Weakly Singular Integral Equations

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Author : Gennadi Vainikko
language : en
Publisher: Springer
Release Date : 1993-07-29

Multidimensional Weakly Singular Integral Equations written by Gennadi Vainikko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-07-29 with Mathematics categories.

The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing sharp estimates of the growth of the derivatives of the solution near the boundary G. The superconvergence effect of collocation methods at the collocation points is established. This is a book for graduate students and researchers in the fields of analysis, integral equations, mathematical physics and numerical methods. No special knowledge beyond standard undergraduate courses is assumed.

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.

Multidimensional Weakly Singular Integral Equations

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Author : Gennadi Vainikko
language : en
Publisher:
Release Date : 2014-01-15

Multidimensional Weakly Singular Integral Equations written by Gennadi Vainikko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with 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.

Singular Integral Equations And Discrete Vortices

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Author : I. K. Lifanov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-11-05

Singular Integral Equations And Discrete Vortices written by I. K. Lifanov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Mathematics categories.

No detailed description available for "Singular Integral Equations and Discrete Vortices".

Singular Integral Operators

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Author : Solomon G. Mikhlin
language : en
Publisher: Springer Science & Business Media
Release Date : 1987

Singular Integral Operators written by Solomon G. Mikhlin 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 1987 with Mathematics categories.

The present edition differs from the original German one mainly in the following addi tional material: weighted norm inequalities for maximal functions and singular opera tors (§ 12, Chap. XI), polysingular integral operators and pseudo-differential operators (§§ 7, 8, Chap. XII), and spline approximation methods for solving singular integral equations (§ 4, Chap. XVII). Furthermore, we added two subsections on polynomial approximation methods for singular integral equations over an interval or with dis continuous coefficients (Nos. 3.6 and 3.7, Chap. XVII). In many places we incorporated new results which, in the vast majority, are from the last five years after publishing the German edition (note that the references are enlarged by about 150 new titles). S. G. Mikhlin wrote §§ 7, 8, Chap. XII, and the other additions were drawn up by S. Prossdorf. We wish to express our deepest gratitude to Dr. A. Bottcher and Dr. R. Lehmann who together translated the text into English carefully and with remarkable expertise.