Differential Operator Equations
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Linear Differential Operators
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Author : Cornelius Lanczos
language : en
Publisher: Courier Corporation
Release Date : 1997-01-01
Linear Differential Operators written by Cornelius Lanczos and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.
The basic and characteristic properties of linear differential operators are explored in this graduate-level text. No specific knowledge beyond the usual introductory courses is necessary. Includes 350 problems and solution.
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
Completeness Of Root Functions Of Regular Differential Operators
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Author : Sasun Yakubov
language : en
Publisher: CRC Press
Release Date : 1993-12-20
Completeness Of Root Functions Of Regular Differential Operators written by Sasun 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 1993-12-20 with Mathematics categories.
The precise mathematical investigation of various natural phenomena is an old and difficult problem. This book is the first to deal systematically with the general non-selfadjoint problems in mechanics and physics. It deals mainly with bounded domains with smooth boundaries, but also considers elliptic boundary value problems in tube domains, i.e. in non-smooth domains. This volume will be of particular value to those working in differential equations, functional analysis, and equations of mathematical physics.
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.
Singular Ordinary Differential Operators And Pseudodifferential Equations
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Author : Johannes Elschner
language : en
Publisher: Springer
Release Date : 2006-11-14
Singular Ordinary Differential Operators And Pseudodifferential Equations written by Johannes Elschner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
An Introduction To Pseudo Differential Operators
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Author : M W Wong
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-03-11
An Introduction To Pseudo Differential Operators written by M W Wong and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-11 with Mathematics categories.
The aim of this third edition is to give an accessible and essentially self-contained account of pseudo-differential operators based on the previous edition. New chapters notwithstanding, the elementary and detailed style of earlier editions is maintained in order to appeal to the largest possible group of readers. The focus of this book is on the global theory of elliptic pseudo-differential operators on Lp(Rn). The main prerequisite for a complete understanding of the book is a basic course in functional analysis up to the level of compact operators. It is an ideal introduction for graduate students in mathematics and mathematicians who aspire to do research in pseudo-differential operators and related topics.
An Introduction To Pseudo Differential Operators
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Author : Man Wah Wong
language : en
Publisher: World Scientific
Release Date : 1999
An Introduction To Pseudo Differential Operators written by Man Wah Wong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
In this new edition of An Introduction to Pseudo-Differential Operators, the style & scope of the original book are retained. A chapter on the interchange of order of differentiation & integration is added at the beginning to make the book more self-contained, & a chapter on weak solutions of pseudo-differential equations is added at the end to enhance the value of the book as a work on partial differential equations. Several chapters are provided with additional exercises. The bibliography is slightly expanded & an index is added. Contents: Differentiation of Integrals Depending on Parameters; The Convolution; The Fourier Transform; Tempered Distributions; Symbols, Pseudo-Differential Operators & Asymptotic Expansions; A Partition of Unity & Taylor's Formula; The Product of Two Pseudo-Differential Operators; The Formal Adjoint of a Pseudo-Differential Operator; The Parametrix of an Elliptic Pseudo-Differential Operator; Lp-Boundedness of Pseudo-Differential Operators, 1
Toward General Theory Of Differential Operator And Kinetic Models
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Author : Nikolay Sidorov
language : en
Publisher: World Scientific
Release Date : 2020-03-13
Toward General Theory Of Differential Operator And Kinetic Models written by Nikolay Sidorov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-13 with Science categories.
This volume provides a comprehensive introduction to the modern theory of differential-operator and kinetic models including Vlasov-Maxwell, Fredholm, Lyapunov-Schmidt branching equations to name a few. This book will bridge the gap in the considerable body of existing academic literature on the analytical methods used in studies of complex behavior of differential-operator equations and kinetic models. This monograph will be of interest to mathematicians, physicists and engineers interested in the theory of such non-standard systems.
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.
Linear Partial Differential Operators In Gevrey Spaces
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Author : Luigi Rodino
language : en
Publisher: World Scientific
Release Date : 1993-03-30
Linear Partial Differential Operators In Gevrey Spaces written by Luigi Rodino and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-30 with Mathematics categories.
The book is devoted to new and classical results of the theory of linear partial differential operators in Gevrey spaces. The “microlocal approach” is adopted, by using pseudo-differential operators, wave front sets and Fourier integral operators.Basic results for Schwartz-distributions, c∞ and analytic classes are also included, concerning hypoellipticity, solvability and propagation of singularities.Also included is a self-contained exposition of the calculus of the pseudo-differential operators of infinite order.