Elliptic Pseudo Differential Operators

Author : Iouri Egorov,Bert-Wolfgang Schulze
Publisher : Birkhäuser
Page : 360 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034889001

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Pseudo-Differential Operators, Singularities, Applications by Iouri Egorov,Bert-Wolfgang Schulze Pdf

This book grew out of lecture notes based on the DMV seminar "Pseudo- Differential Operators, Singularities, Applications" held by the authors in Reisenburg-Günzburg, 12–19 July 1992. The modern theory of elliptic boundary value problems in domains having conical or edge singularities on the boundary as well as the classical theory of elliptic boundary value problems and the original Kondratiev theory are presented. This material forms the foundation for the second part of the book which contains a new construction of pseudo-differential operators with symbols corresponding to the singularities of the boundary of different dimensions. This allows in particular to obtain complete asymptotic expansions of solutions near these singularities.

Author : M W Wong
Publisher : World Scientific Publishing Company
Page : 196 pages
File Size : 54,9 Mb
Release : 2014-03-11
Category : Mathematics
ISBN : 9789814583107

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An Introduction to Pseudo-Differential Operators by M W Wong Pdf

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 : Heinz O Cordes
Publisher : Springer
Page : 348 pages
File Size : 53,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662174979

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Elliptic Pseudo-Differential Operators by Heinz O Cordes Pdf

Author : Xavier Saint Raymond
Publisher : Routledge
Page : 71 pages
File Size : 42,9 Mb
Release : 2018-02-06
Category : Mathematics
ISBN : 9781351452922

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Elementary Introduction to the Theory of Pseudodifferential Operators by Xavier Saint Raymond Pdf

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 : Heinz O. Cordes
Publisher : Springer
Page : 339 pages
File Size : 45,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540384632

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Elliptic Pseudo-Differential Operators by Heinz O. Cordes Pdf

Author : Louis Nirenberg
Publisher : Springer Science & Business Media
Page : 363 pages
File Size : 40,6 Mb
Release : 2011-06-06
Category : Mathematics
ISBN : 9783642110740

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Pseudo-differential Operators by Louis Nirenberg Pdf

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.

Author : Man Wah Wong
Publisher : World Scientific
Page : 156 pages
File Size : 41,9 Mb
Release : 1999
Category : Mathematics
ISBN : 9810238134

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An Introduction to Pseudo-differential Operators by Man Wah Wong Pdf

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 : Alexander Nagel,Elias M. Stein
Publisher : Princeton University Press
Page : 167 pages
File Size : 50,9 Mb
Release : 2015-03-08
Category : Mathematics
ISBN : 9781400870486

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Lectures on Pseudo-Differential Operators by Alexander Nagel,Elias M. Stein Pdf

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 : Bent E. Petersen
Publisher : Pitman Advanced Publishing Program
Page : 376 pages
File Size : 49,5 Mb
Release : 1983
Category : Mathematics
ISBN : UOM:39015015693370

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Introduction to the Fourier Transform & Pseudo-differential Operators by Bent E. Petersen Pdf

Author : M.A. Shubin
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 40,6 Mb
Release : 2001-07-03
Category : Mathematics
ISBN : 354041195X

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Pseudodifferential Operators and Spectral Theory by M.A. Shubin Pdf

This is the second edition of Shubin's classical book. It provides an introduction to the theory of pseudodifferential operators and Fourier integral operators from the very basics. The applications discussed include complex powers of elliptic operators, Hörmander asymptotics of the spectral function and eigenvalues, and methods of approximate spectral projection. Exercises and problems are included to help the reader master the essential techniques. The book is written for a wide audience of mathematicians, be they interested students or researchers.

Author : Michael Eugene Taylor
Publisher : Princeton University Press
Page : 464 pages
File Size : 53,9 Mb
Release : 2017-03-14
Category : Mathematics
ISBN : 9781400886104

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Pseudodifferential Operators (PMS-34) by Michael Eugene Taylor Pdf

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 : B.-W. Schulze
Publisher : Elsevier
Page : 417 pages
File Size : 41,6 Mb
Release : 1991-10-17
Category : Mathematics
ISBN : 9780080875453

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Pseudo-Differential Operators on Manifolds with Singularities by B.-W. Schulze Pdf

The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudo-differential operators. This led to deep connections with index theory, topology and mathematical physics. The present book is devoted to elliptic partial differential equations in the framework of pseudo-differential operators. The first chapter contains the Mellin pseudo-differential calculus on R+ and the functional analysis of weighted Sobolev spaces with discrete and continuous asymptotics. Chapter 2 is devoted to the analogous theory on manifolds with conical singularities, Chapter 3 to manifolds with edges. Employed are pseudo-differential operators along edges with cone-operator-valued symbols.

Author : Ryuichi Ashino,Paolo Boggiatto,Man-Wah Wong
Publisher : Birkhäuser
Page : 236 pages
File Size : 44,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034878401

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Advances in Pseudo-Differential Operators by Ryuichi Ashino,Paolo Boggiatto,Man-Wah Wong Pdf

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 Taylor
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 45,8 Mb
Release : 1991-11-01
Category : Mathematics
ISBN : 0817635955

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Pseudodifferential Operators and Nonlinear PDE by Michael Taylor Pdf

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 : Joachim Toft,M. W. Wong,Hongmei Zhu
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 54,5 Mb
Release : 2007-06-25
Category : Mathematics
ISBN : 9783764381165

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Modern Trends in Pseudo-Differential Operators by Joachim Toft,M. W. Wong,Hongmei Zhu Pdf

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.