Multiplication Of Distributions
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Multiplication Of Distributions
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Author : Jean F. Colombeau
language : en
Publisher: Springer
Release Date : 2006-11-15
Multiplication Of Distributions written by Jean F. Colombeau and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to introductory calculus level so that the book remains accessible at the same time to pure mathematicians (as a smoothand somewhat heuristic introdcution to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).
Multiplication Of Distributions And Applications To Partial Differential Equations
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Author : Michael Oberguggenberger
language : en
Publisher:
Release Date : 1992
Multiplication Of Distributions And Applications To Partial Differential Equations written by Michael Oberguggenberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Differential equations, Hyperbolic categories.
The Bochner Martinelli Integral And Its Applications
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Author : Alexander M. Kytmanov
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
The Bochner Martinelli Integral And Its Applications written by Alexander M. Kytmanov and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The Bochner-Martinelli integral representation for holomorphic functions or'sev eral complex variables (which has already become classical) appeared in the works of Martinelli and Bochner at the beginning of the 1940's. It was the first essen tially multidimensional representation in which the integration takes place over the whole boundary of the domain. This integral representation has a universal 1 kernel (not depending on the form of the domain), like the Cauchy kernel in e . However, in en when n > 1, the Bochner-Martinelli kernel is harmonic, but not holomorphic. For a long time, this circumstance prevented the wide application of the Bochner-Martinelli integral in multidimensional complex analysis. Martinelli and Bochner used their representation to prove the theorem of Hartogs (Osgood Brown) on removability of compact singularities of holomorphic functions in en when n > 1. In the 1950's and 1960's, only isolated works appeared that studied the boundary behavior of Bochner-Martinelli (type) integrals by analogy with Cauchy (type) integrals. This study was based on the Bochner-Martinelli integral being the sum of a double-layer potential and the tangential derivative of a single-layer potential. Therefore the Bochner-Martinelli integral has a jump that agrees with the integrand, but it behaves like the Cauchy integral under approach to the boundary, that is, somewhat worse than the double-layer potential. Thus, the Bochner-Martinelli integral combines properties of the Cauchy integral and the double-layer potential.
Introduction To The Theory Of Distributions
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Author : J Campos Ferreira
language : en
Publisher: CRC Press
Release Date : 1997-05-22
Introduction To The Theory Of Distributions written by J Campos Ferreira and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-22 with Mathematics categories.
A topic of major importance to engineers and physicists, the theory of distributions remains a difficult subject for the non-mathematician. This version of the theory presents a more natural approach.
Multiplication Of Distributions
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Author : Jean François Colombeau
language : en
Publisher:
Release Date : 1992
Multiplication Of Distributions written by Jean François Colombeau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Distributions And Their Applications In Physics
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Author : F. Constantinescu
language : en
Publisher: Elsevier
Release Date : 2017-07-26
Distributions And Their Applications In Physics written by F. Constantinescu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-26 with Science categories.
Distributions and Their Applications in Physics is the introduction of the Theory of Distributions and their applications in physics. The book contains a discussion of those topics under the Theory of Distributions that are already considered classic, which include local distributions; distributions with compact support; tempered distributions; the distribution theory in relativistic physics; and many others. The book also covers the Normed and Countably-normed Spaces; Test Function Spaces; Distribution Spaces; and the properties and operations involved in distributions. The text is recommended for physicists that wish to be acquainted with distributions and their relevance and applications as part of mathematical and theoretical physics, and for mathematicians who wish to be acquainted with the application of distributions theory for physics.
Distributions In The Physical And Engineering Sciences
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Author : Alexander I. Saichev
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Distributions In The Physical And Engineering Sciences written by Alexander I. Saichev 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 Mathematics categories.
Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The goal of the book is to give the reader, specialist and non-specialist useable and modern mathematical tools in their research and analysis. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.
Multiplication Of Distributions
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Author : Jean F. Colombeau
language : en
Publisher:
Release Date : 2014-01-15
Multiplication Of Distributions written by Jean F. Colombeau 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.
New Generalized Functions And Multiplication Of Distributions
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Author : J.F. Colombeau
language : en
Publisher: Elsevier
Release Date : 2000-04-01
New Generalized Functions And Multiplication Of Distributions written by J.F. Colombeau and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Science categories.
This volume presents a new mathematical theory of generalized functions, more general than Distribution Theory, giving a rigorous mathematical sense to any product of a finite number of distributions and to heuristic computations of Quantum Field Theory. Although the physical motivations are emphasized, the book is also addressed to mathematicians with no knowledge of physics. This work opens a new domain of research in both pure and applied mathematics.
Distributions
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Author : Pulin Kumar Bhattacharyya
language : en
Publisher: Walter de Gruyter
Release Date : 2012-05-29
Distributions written by Pulin Kumar Bhattacharyya and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-29 with Mathematics categories.
This book grew out of a course taught in the Department of Mathematics, Indian Institute of Technology, Delhi, which was tailored to the needs of the applied community of mathematicians, engineers, physicists etc., who were interested in studying the problems of mathematical physics in general and their approximate solutions on computer in particular. Almost all topics which will be essential for the study of Sobolev spaces and their applications in the elliptic boundary value problems and their finite element approximations are presented. Also many additional topics of interests for specific applied disciplines and engineering, for example, elementary solutions, derivatives of discontinuous functions of several variables, delta-convergent sequences of functions, Fourier series of distributions, convolution system of equations etc. have been included along with many interesting examples.