Multiplication Of Distributions And Applications To Partial Differential Equations


Multiplication Of Distributions And Applications To Partial Differential Equations
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Multiplication Of Distributions And Applications To Partial Differential Equations


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.




Multiplication Of Distributions And Applications To Partial Differential Equations


Multiplication Of Distributions And Applications To Partial Differential Equations
DOWNLOAD

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 categories.




Problems In Distributions And Partial Differential Equations


Problems In Distributions And Partial Differential Equations
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Author : C. Zuily
language : en
Publisher: Elsevier
Release Date : 1988-04-01

Problems In Distributions And Partial Differential Equations written by C. Zuily and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-04-01 with Mathematics categories.


The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems. Although written for mathematicians, it can also be used by a wider audience, including engineers and physicists. The first six chapters deal with the classical theory, with special emphasis on the concrete aspects. The reader will find many examples of distributions and learn how to work with them. At the beginning of each chapter the relevant theoretical material is briefly recalled. The last chapter is a short introduction to a very wide and important field in analysis which can be considered as the most natural application of distributions, namely the theory of partial differential equations. It includes exercises on the classical differential operators and on fundamental solutions, hypoellipticity, analytic hypoellipticity, Sobolev spaces, local solvability, the Cauchy problem, etc.



Distribution Theory And Applications


Distribution Theory And Applications
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Author : Abdellah El Kinani
language : en
Publisher: World Scientific
Release Date : 2010

Distribution Theory And Applications written by Abdellah El Kinani and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


The general frame for the resolution of PDEs is the theory of kernels ù the first elements of which are sufficient to show the practicality of distribution theory in applications. --



Distributions


Distributions
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Author : J.J. Duistermaat
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-09

Distributions written by J.J. Duistermaat 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 2010-08-09 with Mathematics categories.


This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background.



Distributions And Nonlinear Partial Differential Equations


Distributions And Nonlinear Partial Differential Equations
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Author : Elemer E. Rosinger
language : en
Publisher: Springer
Release Date : 2006-11-15

Distributions And Nonlinear Partial Differential Equations written by Elemer E. Rosinger 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.




A Guide To Distribution Theory And Fourier Transforms


A Guide To Distribution Theory And Fourier Transforms
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Author : Robert S. Strichartz
language : en
Publisher: World Scientific
Release Date : 2003

A Guide To Distribution Theory And Fourier Transforms written by Robert S. Strichartz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.


This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.



Distribution Theory And Transform Analysis


Distribution Theory And Transform Analysis
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Author : A.H. Zemanian
language : en
Publisher: Courier Corporation
Release Date : 2011-11-30

Distribution Theory And Transform Analysis written by A.H. Zemanian and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-30 with Mathematics categories.


Distribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the first to give a clear explanation of distribution theory; it combines the theory effectively with extensive practical applications to science and engineering problems. Based on a graduate course given at the State University of New York at Stony Brook, this book has two objectives: to provide a comparatively elementary introduction to distribution theory and to describe the generalized Fourier and Laplace transformations and their applications to integrodifferential equations, difference equations, and passive systems. After an introductory chapter defining distributions and the operations that apply to them, Chapter 2 considers the calculus of distributions, especially limits, differentiation, integrations, and the interchange of limiting processes. Some deeper properties of distributions, such as their local character as derivatives of continuous functions, are given in Chapter 3. Chapter 4 introduces the distributions of slow growth, which arise naturally in the generalization of the Fourier transformation. Chapters 5 and 6 cover the convolution process and its use in representing differential and difference equations. The distributional Fourier and Laplace transformations are developed in Chapters 7 and 8, and the latter transformation is applied in Chapter 9 to obtain an operational calculus for the solution of differential and difference equations of the initial-condition type. Some of the previous theory is applied in Chapter 10 to a discussion of the fundamental properties of certain physical systems, while Chapter 11 ends the book with a consideration of periodic distributions. Suitable for a graduate course for engineering and science students or for a senior-level undergraduate course for mathematics majors, this book presumes a knowledge of advanced calculus and the standard theorems on the interchange of limit processes. A broad spectrum of problems has been included to satisfy the diverse needs of various types of students.



Multiplication Of Distributions


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).



A Course In Distribution Theory And Applications


A Course In Distribution Theory And Applications
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Author : R. S. Pathak
language : en
Publisher: CRC Press
Release Date : 2001

A Course In Distribution Theory And Applications written by R. S. Pathak and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.


The book covers important topics: basic properties of distributions, convolution, Fourier transforms, Sobolev spaces, weak solutions, distributions on locally convex spaces and on differentiable manifolds. It is a largely self-contained text.".