Pseudo Differential Operators And The Nash Moser Theorem PDF Download
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| Author | : Serge Alinhac |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 178 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 0821834541 |
Download Pseudo-differential Operators and the Nash-Moser Theorem Book in PDF, ePub and Kindle
This book presents two essential and apparently unrelated subjects. The first, microlocal analysis and the theory of pseudo-differential operators, is a basic tool in the study of partial differential equations and in analysis on manifolds. The second, the Nash-Moser theorem, continues to be fundamentally important in geometry, dynamical systems and nonlinear PDE. Each of the subjects, which are of interest in their own right as well as for applications, can be learned separately. But the book shows the deep connections between the two themes, particularly in the middle part, which is devoted to Littlewood-Paley theory, dyadic analysis, and the paradifferential calculus and its application to interpolation inequalities. 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.
| Author | : Alexander Nagel |
| Publisher | : Princeton University Press |
| Total Pages | : 167 |
| Release | : 2015-03-08 |
| Genre | : Mathematics |
| ISBN | : 1400870488 |
Download Lectures on Pseudo-Differential Operators Book in PDF, ePub and Kindle
The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevant to several complex variables and certain non-elliptic problems. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
| Author | : Xavier Saint Raymond |
| Publisher | : Routledge |
| Total Pages | : 118 |
| Release | : 2018-02-06 |
| Genre | : Mathematics |
| ISBN | : 1351452924 |
Download Elementary Introduction to the Theory of Pseudodifferential Operators Book in PDF, ePub and Kindle
In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This book provides the fundamental knowledge non-specialists need in order to use microlocal analysis. It is strictly mathematical in the sense that it contains precise definitions, statements of theorems and complete proofs, and follows the usual method of pure mathematics. The book explains the origin of the theory (i.e., Fourier transformation), presents an elementary construcion of distribution theory, and features a careful exposition of standard pseudodifferential theory. Exercises, historical notes, and bibliographical references are included to round out this essential book for mathematics students; engineers, physicists, and mathematicians who use partial differential equations; and advanced mathematics instructors.
| Author | : Man-wah Wong |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 195 |
| Release | : 2014-03-11 |
| Genre | : Mathematics |
| ISBN | : 9814583103 |
Download Introduction To Pseudo-differential Operators, An (3rd Edition) Book in PDF, ePub and Kindle
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.
| Author | : Man Wah Wong |
| Publisher | : World Scientific |
| Total Pages | : 156 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 9789810238131 |
Download An Introduction to Pseudo-differential Operators Book in PDF, ePub and Kindle
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
| Author | : Michael Taylor |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 234 |
| Release | : 1991-11-01 |
| Genre | : Mathematics |
| ISBN | : 9780817635954 |
Download Pseudodifferential Operators and Nonlinear PDE Book in PDF, ePub and Kindle
For the past 25 years the theory of pseudodifferential operators has played an important role in many exciting and deep investigations into linear PDE. Over the past decade, this tool has also begun to yield interesting results in nonlinear PDE. This book is devoted to a summary and reconsideration of some used of pseudodifferential operator techniques in nonlinear PDE. The book should be of interest to graduate students, instructors, and researchers interested in partial differential equations, nonlinear analysis in classical mathematical physics and differential geometry, and in harmonic analysis.
| Author | : Shahla Molahajloo |
| Publisher | : Springer |
| Total Pages | : 257 |
| Release | : 2019-05-08 |
| Genre | : Mathematics |
| ISBN | : 3030051684 |
Download Analysis of Pseudo-Differential Operators Book in PDF, ePub and Kindle
This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017. It includes research papers presented at the session and invited papers by experts in fields that involve pseudo-differential operators. The first four chapters focus on the functional analysis of pseudo-differential operators on a spectrum of settings from Z to Rn to compact groups. Chapters 5 and 6 discuss operators on Lie groups and manifolds with edge, while the following two chapters cover topics related to probabilities. The final chapters then address topics in differential equations.
| Author | : Ryuichi Ashino |
| Publisher | : Birkhäuser |
| Total Pages | : 236 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034878400 |
Download Advances in Pseudo-Differential Operators Book in PDF, ePub and Kindle
This volume consists of the plenary lectures and invited talks in the special session on pseudo-differential operators given at the Fourth Congress of the International Society for Analysis, Applications and Computation (ISAAC) held at York University in Toronto, August 11-16, 2003. The theme is to look at pseudo-differential operators in a very general sense and to report recent advances in a broad spectrum of topics, such as pde, quantization, filters and localization operators, modulation spaces, and numerical experiments in wavelet transforms and orthonormal wavelet bases.
| Author | : Michael Eugene Taylor |
| Publisher | : Princeton University Press |
| Total Pages | : 465 |
| Release | : 2017-03-14 |
| Genre | : Mathematics |
| ISBN | : 1400886104 |
Download Pseudodifferential Operators (PMS-34) Book in PDF, ePub and Kindle
Here Michael Taylor develops pseudodifferential operators as a tool for treating problems in linear partial differential equations, including existence, uniqueness, and estimates of smoothness, as well as other qualitative properties. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
| Author | : M.A. Shubin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 296 |
| Release | : 2011-06-28 |
| Genre | : Mathematics |
| ISBN | : 3642565794 |
Download Pseudodifferential Operators and Spectral Theory Book in PDF, ePub and Kindle
I had mixed feelings when I thought how I should prepare the book for the second edition. It was clear to me that I had to correct all mistakes and misprints that were found in the book during the life of the first edition. This was easy to do because the mistakes were mostly minor and easy to correct, and the misprints were not many. It was more difficult to decide whether I should update the book (or at least its bibliography) somehow. I decided that it did not need much of an updating. The main value of any good mathematical book is that it teaches its reader some language and some skills. It can not exhaust any substantial topic no matter how hard the author tried. Pseudodifferential operators became a language and a tool of analysis of partial differential equations long ago. Therefore it is meaningless to try to exhaust this topic. Here is an easy proof. As of July 3, 2000, MathSciNet (the database of the American Mathematical Society) in a few seconds found 3695 sources, among them 363 books, during its search for "pseudodifferential operator". (The search also led to finding 963 sources for "pseudo-differential operator" but I was unable to check how much the results ofthese two searches intersected). This means that the corresponding words appear either in the title or in the review published in Mathematical Reviews.
