Differential Operators For Partial Differential Equations And Function Theoretic Applications
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Differential Operators For Partial Differential Equations And Function Theoretic Applications
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Author : K. W. Bauer
language : en
Publisher: Springer
Release Date : 2007-02-08
Differential Operators For Partial Differential Equations And Function Theoretic Applications written by K. W. Bauer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-08 with Mathematics categories.
Differential Operators For Partial Differential Equations And Function Theoretic Applications
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Author : K. W. Bauer
language : en
Publisher:
Release Date : 2014-01-15
Differential Operators For Partial Differential Equations And Function Theoretic Applications written by K. W. Bauer 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.
Geometry And Differential Geometry
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Author : Jean Renault
language : en
Publisher:
Release Date : 1980
Geometry And Differential Geometry written by Jean Renault and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with C*-algebras categories.
Introduction To The Theory Of Linear Partial Differential Equations
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Author : J. Chazarain
language : en
Publisher: Elsevier
Release Date : 2011-08-18
Introduction To The Theory Of Linear Partial Differential Equations written by J. Chazarain and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Computers categories.
Introduction to the Theory of Linear Partial Differential Equations
Differential Operator Equations
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Author : Yakov Yakubov
language : en
Publisher: CRC Press
Release Date : 1999-11-24
Differential Operator Equations written by Yakov Yakubov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-24 with Mathematics categories.
The theory of differential-operator equations is one of two modern theories for the study of both ordinary and partial differential equations, with numerous applications in mechanics and theoretical physics. Although a number of published works address differential-operator equations of the first and second orders, to date none offer a treatment of the higher orders. In Differential-Operator Equations, the authors present a systematic treatment of the theory of differential-operator equations of higher order, with applications to partial differential equations. They construct a theory that allows application to both regular and irregular differential problems. In particular, they study problems that cannot be solved by various known methods and irregular problems not addressed in existing monographs. These include Birkhoff-irregularity, non-local boundary value conditions, and non-smoothness of the boundary of the domains. Among this volume's other points of interest are: The Abel basis property of a system of root functions Irregular boundary value problems The theory of hyperbolic equations in Gevrey space The theory of boundary value problems for elliptic differential equations with a parameter
Theory And Applications Of Partial Differential Equations
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Author : Piero Bassanini
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Theory And Applications Of Partial Differential Equations written by Piero Bassanini 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 2013-11-11 with Mathematics categories.
This book is a product of the experience of the authors in teaching partial differential equations to students of mathematics, physics, and engineering over a period of 20 years. Our goal in writing it has been to introduce the subject with precise and rigorous analysis on the one hand, and interesting and significant applications on the other. The starting level of the book is at the first-year graduate level in a U.S. university. Previous experience with partial differential equations is not required, but the use of classical analysis to find solutions of specific problems is not emphasized. From that perspective our treatment is decidedly theoretical. We have avoided abstraction and full generality in many situations, however. Our plan has been to introduce fundamental ideas in relatively simple situations and to show their impact on relevant applications. The student is then, we feel, well prepared to fight through more specialized treatises. There are parts of the exposition that require Lebesgue integration, distributions and Fourier transforms, and Sobolev spaces. We have included a long appendix, Chapter 8, giving precise statements of all results used. This may be thought of as an introduction to these topics. The reader who is not familiar with these subjects may refer to parts of Chapter 8 as needed or become somewhat familiar with them as prerequisite and treat Chapter 8 as Chapter O.
Essentials Of Partial Differential Equations
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Author : Marin Marin
language : en
Publisher: Springer
Release Date : 2018-05-09
Essentials Of Partial Differential Equations written by Marin Marin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-09 with Technology & Engineering categories.
This book offers engineering students an introduction to the theory of partial differential equations and then guiding them through the modern problems in this subject. Divided into two parts, in the first part readers already well-acquainted with problems from the theory of differential and integral equations gain insights into the classical notions and problems, including differential operators, characteristic surfaces, Levi functions, Green’s function, and Green’s formulas. Readers are also instructed in the extended potential theory in its three forms: the volume potential, the surface single-layer potential and the surface double-layer potential. Furthermore, the book presents the main initial boundary value problems associated with elliptic, parabolic and hyperbolic equations. The second part of the book, which is addressed first and foremost to those who are already acquainted with the notions and the results from the first part, introduces readers to modern aspects of the theory of partial differential equations.
Integral Operators In The Theory Of Linear Partial Differential Equations
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Author : Stefan Bergman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Integral Operators In The Theory Of Linear Partial Differential Equations written by Stefan Bergman 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 present book deals with the construction of solutions of linear partial differential equations by means of integral operators which transform analytic functions of a complex variable into such solutions. The theory of analytic functions has achieved a high degree of deve lopment and simplicity, and the operator method permits us to exploit this theory in the study of differential equations. Although the study of existence and uniqueness of solutions has been highly developed, much less attention has been paid to the investigation of function theo retical properties and to the explicit construction of regular and singular solutions using a unified general procedure. This book attempts to fill in the gap in this direction. Integral operators of various types have been used for a long time in the mathematical literature. In this connection one needs only to mention Euler and Laplace. The author has not attempted to give a complete account of all known operators, but rather has aimed at developing a unified approach. For this purpose he uses special operators which preserve various function theoretical properties of analytic functions, such as domains of regularity, validity of series development, connection between the coefficients of these developments and location and character of singularities, etc. However, all efforts were made to give a complete bibliography to help the reader to find more detailed information.
Fundamental Solutions For Differential Operators And Applications
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Author : Prem Kythe
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
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 2012-12-06 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 Iii
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Author : Lars Hörmander
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-03-15
The Analysis Of Linear Partial Differential Operators Iii 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 2007-03-15 with Mathematics categories.
From the reviews: "Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987. "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987.
