Pseudo Differential Operators
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Pseudo Differential Operators
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Author : M. Taylor
language : en
Publisher: Springer
Release Date : 2006-12-08
Pseudo Differential Operators written by M. Taylor and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
These notes are based on the lectures given on partial differential equations at the University of Michigan during the winter semester of 1972, with some extensions. The students to whom these lectures were addressed were assumed to have knowledge of elementary functional analysis, the Fourier transform, distribution theory, and Sobolev spaces, and such tools are used without comment. In this monography, we develop one tool, the calculus of pseudo differential operators, and apply it to several of the main problems of partial differential equations.
Pseudo Differential Operators And Applications
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Author : A. Unterberger
language : en
Publisher:
Release Date : 1976
Pseudo Differential Operators And Applications written by A. Unterberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Differential equations, Linear categories.
Introduction To Pseudo Differential Operators An 2nd Edition
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Author : Man-wah Wong
language : en
Publisher: World Scientific Publishing Company
Release Date : 1999-04-29
Introduction To Pseudo Differential Operators An 2nd Edition written by Man-wah 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 1999-04-29 with Mathematics categories.
In this new edition of An Introduction to Pseudo-Differential Operators, the style and scope of the original book are retained. A chapter on the interchange of order of differentiation and integration is added at the beginning to make the book more self-contained, and 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 and an index is added.
An Introduction To Pseudo Differential Operators
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Author : M W. Wong
language : en
Publisher: World Scientific
Release Date : 1991
An Introduction To Pseudo Differential Operators written by M W. 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 1991 with categories.
Pseudo Differential Operators
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Author : Louis Nirenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-06
Pseudo Differential Operators written by Louis Nirenberg 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 2011-06-06 with Mathematics categories.
S. Agmon: Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators.- J. Bokobza-Haggiag: Une définition globale des opérateurs pseudo-différentiels sur une variété différentiable.- L. Boutet de Monvel: Pseudo-differential operators and analytic function.- A. Calderon: A priori estimates for singular integral operators.- B.F. Jones: Characterization of spaces of Bessel potentials related to the heat equation.- J.J. Kohn: Pseudo-differential operators and non-elliptic problems.- R.T. Seeley: Topics in pseudo-differential operators.- I.M. E. Shamir: Boundary value problems for elliptic convolution systems.- Singer: Elliptic operators on manifolds.
Pseudo Differential Operators
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Author : Hitoshi Kumanogō
language : en
Publisher: MIT Press (MA)
Release Date : 1982-01
Pseudo Differential Operators written by Hitoshi Kumanogō and has been published by MIT Press (MA) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01 with Mathematics categories.
This self-contained and formal exposition of the theory and applications of pseudo-differential operators is addressed not only to specialists and graduate students but to advanced undergraduates as well. The only prerequisite is a solid background in calculus, with all further preparation for the study of the subject provided by the book's first chapter. This chapter introduces the fundamental concepts of spaces of functions and Fourier transforms, and covers such topics as linear operators, linear functionals, dual spaces, Hilbert spaces, distributions, and oscillatory integrals. The second chapter develops the theory of pseudo-differential operators themselves on the basis of elementary calculus and concepts presented in the opening chapter, while the third chapter extends the theory of Sobolev spaces. The major applications of the theory, most of them the result of work done since 1965, are in the study and solution of linear partial differential equations, which are found in many branches of pure and applied mathematics and are ubiquitous throughout the sciences and technology. The final seven chapters of Pseudo-Differential Operators take up a range of applications, and deal with such problems as hypoellipticity, local solvability, local uniqueness, index theory, elliptic boundary values, complex powers, initial values, well-posedness, the fixed point theorem of Atiyah-Bott-Lefschetz, Fourier integral operators, and propagation of singularities. For this English edition, the last chapter has been greatly extended and appendixes added in order to present the latest developments of the subject. Multiphase Fourier integral operators are applied to initial-value problems, the micro-local theory is developed from the notion of the "wave front set," and the Nirenberg-Treves existence theorem for the solutions of partial differential equations is discussed. The systematic use of the "multiple symbols" introduced by K. O. Friedrichs provides elegant proofs of otherwise lengthy developments. Hitoshi Kumano-Go teaches in the Mathematics Department at Osaka University.
The Analysis Of Linear Partial Differential Operators Iii
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Author : Lars Hörmander
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-12-23
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 1994-12-23 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.
Pseudo Differential Operators And The Nash Moser Theorem
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Author : Patrick Gérard
language : en
Publisher: American Mathematical Soc.
Release Date :
Pseudo Differential Operators And The Nash Moser Theorem written by Patrick Gérard and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
"An important feature is the elementary and self-contained character of the text, to which many exercises and an introductory Chapter 0 with basic material have been added. This makes the book readable by graduate students or researchers from one subject who are interested in becoming familiar with the other. It can also be used as a textbook for a graduate course on nonlinear PDE or geometry."--BOOK JACKET.
Pseudo Differential Operators Singularities Applications
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Author : I͡Uriĭ Vladimirovich Egorov
language : en
Publisher: Springer Science & Business Media
Release Date : 1997
Pseudo Differential Operators Singularities Applications written by I͡Uriĭ Vladimirovich Egorov 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 1997 with Fourier integral operators categories.
Modern Trends In Pseudo Differential Operators
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Author : Joachim Toft
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-22
Modern Trends In Pseudo Differential Operators written by Joachim Toft 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 2007-01-22 with Mathematics categories.
The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at Università di Catania in Italy in July, 2005. This volume consists of papers based on lectures given at the special session on pseudodifferential operators and invited papers that bear on the themes of IGPDO. Nineteen peer-reviewed papers represent modern trends in pseudo-differential operators. Diverse topics related to pseudo-differential operators are covered.