Fundamental Solutions Of Linear Partial Differential Operators
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Fundamental Solutions Of Linear Partial Differential Operators
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Author : Norbert Ortner
language : en
Publisher: Springer
Release Date : 2015-08-05
Fundamental Solutions Of Linear Partial Differential Operators written by Norbert Ortner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-05 with Mathematics categories.
This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of fundamental solutions. The main part of the book deals with existence theorems and uniqueness criteria, the method of parameter integration, the investigation of quasihyperbolic systems by means of Fourier and Laplace transforms, and the representation of fundamental solutions of homogeneous elliptic operators with the help of Abelian integrals. In addition to rigorous distributional derivations and verifications of fundamental solutions, the book also shows how to construct fundamental solutions (matrices) of many physically relevant operators (systems), in elasticity, thermoelasticity, hexagonal/cubic elastodynamics, for Maxwell’s system and others. The book mainly addresses researchers and lecturers who work with partial differential equations. However, it also offers a valuable resource for students with a solid background in vector calculus, complex analysis and functional analysis.
Fundamental Solutions For Differential Operators And Applications
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Author : Prem Kythe
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-07-30
Fundamental Solutions For Differential Operators And Applications written by Prem Kythe 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 1996-07-30 with Mathematics categories.
A self-contained and systematic development of an aspect of analysis which deals with the theory of fundamental solutions for differential operators, and their applications to boundary value problems of mathematical physics, applied mathematics, and engineering, with the related computational aspects.
The Analysis Of Linear Partial Differential Operators I
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Author : Lars Hörmander
language : en
Publisher: Springer
Release Date : 1990-08-10
The Analysis Of Linear Partial Differential Operators I written by Lars Hörmander and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-08-10 with Mathematics categories.
The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and for numerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration.
Basic Linear Partial Differential Equations
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Author : François Treves
language : en
Publisher: Academic Press
Release Date : 1975-08-08
Basic Linear Partial Differential Equations written by François Treves and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-08-08 with Mathematics categories.
Basic Linear Partial Differential Equations
Handbook Of Linear Partial Differential Equations For Engineers And Scientists
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2001-11-28
Handbook Of Linear Partial Differential Equations For Engineers And Scientists written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-28 with Mathematics categories.
Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering. Parabolic, hyperbolic, and elliptic equations with
Linear Partial Differential Operators
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Author : Lars Hörmander
language : en
Publisher: Springer
Release Date : 2013-11-11
Linear Partial Differential Operators written by Lars Hörmander and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
Basic Theory Of Ordinary Differential Equations
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Author : Po-Fang Hsieh
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Basic Theory Of Ordinary Differential Equations written by Po-Fang Hsieh 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.
The authors' aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional ability. The selection of topics should provide the reader with methods and results that are applicable in a variety of different fields. The text is suitable for a one-year graduate course, as well as a reference book for research mathematicians. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history. The book has 114 illustrations and 206 exercises. Hints and comments for many problems are given.
The Analysis Of Linear Partial Differential Operators I
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Author : Lars Hörmander
language : en
Publisher: Springer
Release Date : 2015-03-30
The Analysis Of Linear Partial Differential Operators I written by Lars Hörmander and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-30 with Mathematics categories.
The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and fornumerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration.
The Analysis Of Linear Partial Differential Operators Ii
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Author : Lars Hörmander
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-17
The Analysis Of Linear Partial Differential Operators Ii written by Lars Hörmander 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 2004-11-17 with Mathematics categories.
Author received the 1962 Fields Medal Author received the 1988 Wolf Prize (honoring achievemnets of a lifetime) Author is leading expert in partial differential equations