Author: Josefina D. Alvarez AlonsoPublisher:
ISBN:
Category : Lp spaces
Languages : en
Pages : 54
Book Description
Lp-estimates for Pseudodifferential Operators
Author: Josefina D. Alvarez AlonsoPublisher:
ISBN:
Category : Lp spaces
Languages : en
Pages : 54
Book Description
Lp-Estimates for pseudodifferential operators
Author: L P Estimates for Pseudodifferential Operators
Author: Yves MeyerPseudodifferential Operators (PMS-34)
Author: Michael Eugene TaylorPublisher: Princeton University Press
ISBN: 1400886104
Category : Mathematics
Languages : en
Pages : 465
Book Description
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.
Introduction To Pseudo-differential Operators, An (3rd Edition)
Author: Man-wah WongPublisher: World Scientific Publishing Company
ISBN: 9814583103
Category : Mathematics
Languages : en
Pages : 195
Book Description
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.
Elementary Introduction to the Theory of Pseudodifferential Operators
Author: Xavier Saint RaymondPublisher: Routledge
ISBN: 1351452924
Category : Mathematics
Languages : en
Pages : 118
Book Description
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.
Pseudodifferential Operators with Applications
Author: A. AvantaggiatiPublisher: Springer Science & Business Media
ISBN: 3642110924
Category : Mathematics
Languages : en
Pages : 238
Book Description
A. Dynin: Pseudo-differential operators on Heisenberg groups.- A. Dynin: An index formula for elliptic boundary problems.- G.I. Eskin: General mixed boundary problems for elliptic differential equations.- B. Helffer: Hypoellipticité pour des opérateurs différentiels sur des groupes de Lie nilpotents.- J.J. Kohn: Lectures on degenerate elliptic problems.- K. Taira: Conditions nécessaires et suffisantes pour l’existence et l’unicité des solutions du problème de la dérivée oblique.- F. Treves: Boundary value problems for elliptic equations.
Pseudo-differential Operators and the Nash-Moser Theorem
Author: Patrick GérardPublisher: American Mathematical Soc.
ISBN: 9780821884034
Category : Mathematics
Languages : en
Pages : 186
Book Description
"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.
Tools for PDE
Author: Michael E. TaylorPublisher: American Mathematical Soc.
ISBN: 0821843788
Category : Mathematics
Languages : en
Pages : 274
Book Description
Developing three related tools that are useful in the analysis of partial differential equations (PDEs) arising from the classical study of singular integral operators, this text considers pseudodifferential operators, paradifferential operators, and layer potentials.
Lectures on Pseudo-Differential Operators
Author: Alexander NagelPublisher: Princeton University Press
ISBN: 1400870488
Category : Mathematics
Languages : en
Pages : 167
Book Description
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.