Egorov, I︠U︡. V. (I︠U︡riĭ Vladimirovich)
Overview
Works:  59 works in 204 publications in 3 languages and 2,507 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Creator, Other 
Classifications:  QA403, 515.353 
Publication Timeline
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Most widely held works by
I︠U︡. V Egorov
Foundations of the classical theory of partial differential equations
by
I︠U︡. V Egorov(
Book
)
28 editions published between 1991 and 1998 in English and held by 302 WorldCat member libraries worldwide
From the reviews of the first printing, published as volume 30 of the Encyclopaedia of Mathematical Sciences: "... I think the volume is a great success and an excellent preparation for future volumes in the series. ... the introductory style of Egorov and Shubin is .. attractive. ... a welcome addition to the literature and I am looking forward to the appearance of more volumes of the Encyclopedia in the near future. ..." The Mathematical Intelligencer, 1993 "... According to the authors ... the work was written for nonspecialists and physicists but in my opinion almost every specialist will find something new ... in the text. The style is clear, the notations are chosen luckily. The most characteristic feature of the work is the accurate emphasis on the fundamental notions ..." Acta Scientiarum Mathematicarum, 1993 "... On the whole, a thorough overview on the classical aspects of the topic may be gained from that volume." Monatshefte fr Mathematik, 1993 "... It is comparable in scope with the great CourantHilbert "Methods of Mathematical Physics", but it is much shorter, more up to date of course, and contains more elaborate analytical machinery. A general background in functional analysis is required, but much of the theory is explained from scratch, anad the physical background of the mathematical theory is kept clearly in mind. The book gives a good and readable overview of the subject. ... carefully written, well translated, and well produced." The Mathematical Gazette, 1993
28 editions published between 1991 and 1998 in English and held by 302 WorldCat member libraries worldwide
From the reviews of the first printing, published as volume 30 of the Encyclopaedia of Mathematical Sciences: "... I think the volume is a great success and an excellent preparation for future volumes in the series. ... the introductory style of Egorov and Shubin is .. attractive. ... a welcome addition to the literature and I am looking forward to the appearance of more volumes of the Encyclopedia in the near future. ..." The Mathematical Intelligencer, 1993 "... According to the authors ... the work was written for nonspecialists and physicists but in my opinion almost every specialist will find something new ... in the text. The style is clear, the notations are chosen luckily. The most characteristic feature of the work is the accurate emphasis on the fundamental notions ..." Acta Scientiarum Mathematicarum, 1993 "... On the whole, a thorough overview on the classical aspects of the topic may be gained from that volume." Monatshefte fr Mathematik, 1993 "... It is comparable in scope with the great CourantHilbert "Methods of Mathematical Physics", but it is much shorter, more up to date of course, and contains more elaborate analytical machinery. A general background in functional analysis is required, but much of the theory is explained from scratch, anad the physical background of the mathematical theory is kept clearly in mind. The book gives a good and readable overview of the subject. ... carefully written, well translated, and well produced." The Mathematical Gazette, 1993
Partial differential equations III
by
I︠U︡. V Egorov(
Book
)
15 editions published in 1991 in English and held by 239 WorldCat member libraries worldwide
15 editions published in 1991 in English and held by 239 WorldCat member libraries worldwide
Partial differential equations VI : elliptic and parabolic operators
by
I︠U︡. V Egorov(
Book
)
13 editions published in 1994 in English and held by 209 WorldCat member libraries worldwide
This volume of the EMS contains three contributions covering topics in the field of partial differential equations: Elliptic operators on closed manifolds, degenerating elliptic equations and boundary problems, and parabolic equations. All the authors are wellknown researchers and they present their material as accessible surveys enabling readers to find comprehensive coverage of results which are scattered throughout the literature. For this reason the book is a unique source of information. It forms part of a multivolume subseries of the EMS devoted to partial differential equations and it will be very useful to graduate students and researchers in mathematics and theoretical physics as well as engineers who are interested in this subject
13 editions published in 1994 in English and held by 209 WorldCat member libraries worldwide
This volume of the EMS contains three contributions covering topics in the field of partial differential equations: Elliptic operators on closed manifolds, degenerating elliptic equations and boundary problems, and parabolic equations. All the authors are wellknown researchers and they present their material as accessible surveys enabling readers to find comprehensive coverage of results which are scattered throughout the literature. For this reason the book is a unique source of information. It forms part of a multivolume subseries of the EMS devoted to partial differential equations and it will be very useful to graduate students and researchers in mathematics and theoretical physics as well as engineers who are interested in this subject
Partial differential equations
by M. V Fedoryuk(
Book
)
11 editions published between 1993 and 1997 in 3 languages and held by 209 WorldCat member libraries worldwide
11 editions published between 1993 and 1997 in 3 languages and held by 209 WorldCat member libraries worldwide
Partial differential equations IV : microlocal analysis and hyperbolic equations
by
I︠U︡. V Egorov(
Book
)
14 editions published between 1992 and 2011 in English and Undetermined and held by 208 WorldCat member libraries worldwide
In the first part of this EMS volume Yu. V. Egorov gives an account of microlocal analysis as a tool for investigating partial differential equations. This method has become increasingly important in the theory of Hamiltonian systems. Egorov discusses the evolution of singularities of a partial differential equation and covers topics like integral curves of Hamiltonian systems, pseudodifferential equations and canonical transformations, subelliptic operators and Poisson brackets. The second survey written by V. Ya. Ivrii treats linear hyperbolic equations and systems. The author states necessary and sufficient conditions for C? and L2 wellposedness and he studies the analogous problem in the context of Gevrey classes. He also gives the latest results in the theory of mixed problems for hyperbolic operators and a list of unsolved problems. Both parts cover recent research in an important field, which before was scattered in numerous journals. The book will hence be of immense value to graduate students and researchers in partial differential equations and theoretical physics
14 editions published between 1992 and 2011 in English and Undetermined and held by 208 WorldCat member libraries worldwide
In the first part of this EMS volume Yu. V. Egorov gives an account of microlocal analysis as a tool for investigating partial differential equations. This method has become increasingly important in the theory of Hamiltonian systems. Egorov discusses the evolution of singularities of a partial differential equation and covers topics like integral curves of Hamiltonian systems, pseudodifferential equations and canonical transformations, subelliptic operators and Poisson brackets. The second survey written by V. Ya. Ivrii treats linear hyperbolic equations and systems. The author states necessary and sufficient conditions for C? and L2 wellposedness and he studies the analogous problem in the context of Gevrey classes. He also gives the latest results in the theory of mixed problems for hyperbolic operators and a list of unsolved problems. Both parts cover recent research in an important field, which before was scattered in numerous journals. The book will hence be of immense value to graduate students and researchers in partial differential equations and theoretical physics
Partial differential equations II : elements of the modern theory ; equations with constant coefficients
(
Book
)
13 editions published in 1994 in English and held by 205 WorldCat member libraries worldwide
This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications including singular integral operators, pseudodifferential operators, Fourier integral operators and wavefronts, a survey of the most important results about the mixed problem for hyperbolic equations, a review of asymptotic methods including short wave asymptotics, the Maslov canonical operator and spectral asymptotics, a detailed description of the applications of distribution theory to partial differential equations with constant coefficients including numerous interesting special topics
13 editions published in 1994 in English and held by 205 WorldCat member libraries worldwide
This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications including singular integral operators, pseudodifferential operators, Fourier integral operators and wavefronts, a survey of the most important results about the mixed problem for hyperbolic equations, a review of asymptotic methods including short wave asymptotics, the Maslov canonical operator and spectral asymptotics, a detailed description of the applications of distribution theory to partial differential equations with constant coefficients including numerous interesting special topics
Pseudodifferential operators, singularities, applications
by
I︠U︡. V Egorov(
Book
)
5 editions published in 1997 in English and held by 190 WorldCat member libraries worldwide
This book grew out of lecture notes based on the DMV seminar "Pseudo Differential Operators, Singularities, Applications" held by the authors in ReisenburgGünzburg, 1219 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 pseudodifferential 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
5 editions published in 1997 in English and held by 190 WorldCat member libraries worldwide
This book grew out of lecture notes based on the DMV seminar "Pseudo Differential Operators, Singularities, Applications" held by the authors in ReisenburgGünzburg, 1219 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 pseudodifferential 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
Linear differential equations of principal type
by
I︠U︡. V Egorov(
Book
)
4 editions published in 1986 in English and held by 189 WorldCat member libraries worldwide
4 editions published in 1986 in English and held by 189 WorldCat member libraries worldwide
Partial differential equations IX : elliptic boundary value problems
by
M. S Agranovich(
Book
)
11 editions published in 1997 in English and held by 179 WorldCat member libraries worldwide
This EMS volume gives an overview of the modern theory of elliptic boundary value problems. The contribution by M.S. Agranovich is devoted to differential elliptic boundary problems, mainly in smooth bounded domains, and their spectral properties. This article continues his contribution to EMS 63. The contribution by A. Brenner and E. Shargorodsky concerns the theory of boundary value problems for elliptic pseudodifferential operators. Problems both with and without the transmission property, as well as parameterdependent problems are considered. The article by B. Plamenevskij deals with general differential elliptic boundary value problems in domains with singularities
11 editions published in 1997 in English and held by 179 WorldCat member libraries worldwide
This EMS volume gives an overview of the modern theory of elliptic boundary value problems. The contribution by M.S. Agranovich is devoted to differential elliptic boundary problems, mainly in smooth bounded domains, and their spectral properties. This article continues his contribution to EMS 63. The contribution by A. Brenner and E. Shargorodsky concerns the theory of boundary value problems for elliptic pseudodifferential operators. Problems both with and without the transmission property, as well as parameterdependent problems are considered. The article by B. Plamenevskij deals with general differential elliptic boundary value problems in domains with singularities
On spectral theory of elliptic operators
by
I︠U︡. V Egorov(
Book
)
8 editions published between 1991 and 2012 in English and held by 175 WorldCat member libraries worldwide
This book contains results obtained by the authors in 19801992 and partially published in mathematical journals; some of them have not been translated into English before. The results relate to estimates of the first eigenvalue and the negative spectrum of the Schrödinger operator, as well as to estimates of eigenvalues and eigenfunctions. The first part of the book is of introductory character and contains the required tools from the theory of functional spaces, spectral theory, and the theory of elliptic boundaryvalue problems. It is essentially selfcontained and can be used as a textbook by students
8 editions published between 1991 and 2012 in English and held by 175 WorldCat member libraries worldwide
This book contains results obtained by the authors in 19801992 and partially published in mathematical journals; some of them have not been translated into English before. The results relate to estimates of the first eigenvalue and the negative spectrum of the Schrödinger operator, as well as to estimates of eigenvalues and eigenfunctions. The first part of the book is of introductory character and contains the required tools from the theory of functional spaces, spectral theory, and the theory of elliptic boundaryvalue problems. It is essentially selfcontained and can be used as a textbook by students
Elements of the modern theory of partial differential equations
by
I︠U︡. V Egorov(
Book
)
8 editions published between 1994 and 1999 in English and held by 101 WorldCat member libraries worldwide
8 editions published between 1994 and 1999 in English and held by 101 WorldCat member libraries worldwide
Partial differential equations VII : spectral theory of differential operators
by
M. A Shubin(
Book
)
5 editions published in 1994 in English and held by 63 WorldCat member libraries worldwide
This EMS volume contains a survey of the principles and advanced techniques of the spectral theory of linear differential and pseudodifferential operators in finitedimensional spaces. The basic notions and theorems are first reviewed and followed by a comprehensive presentation of a variety of advanced approaches such as the factorization method, the variational techniques, the approximate spectral projection method, and the probabilistic method, to name a few. Special attention is devoted to the spectral properties of Schrödinger and Dirac operators and of other operators as well. In addition, a special section of Sunada's recent solution of Kac's celebrated problem of whether or not "one can hear the shape of a drum" is included
5 editions published in 1994 in English and held by 63 WorldCat member libraries worldwide
This EMS volume contains a survey of the principles and advanced techniques of the spectral theory of linear differential and pseudodifferential operators in finitedimensional spaces. The basic notions and theorems are first reviewed and followed by a comprehensive presentation of a variety of advanced approaches such as the factorization method, the variational techniques, the approximate spectral projection method, and the probabilistic method, to name a few. Special attention is devoted to the spectral properties of Schrödinger and Dirac operators and of other operators as well. In addition, a special section of Sunada's recent solution of Kac's celebrated problem of whether or not "one can hear the shape of a drum" is included
Elements of the modern theory ; Equations with constant coefficients
(
Book
)
3 editions published in 1994 in English and held by 56 WorldCat member libraries worldwide
3 editions published in 1994 in English and held by 56 WorldCat member libraries worldwide
Lineĭnye different︠s︡ialʹnye uravnenii︠a︡ glavnogo tipa
by
I︠U︡. V Egorov(
Book
)
5 editions published in 1984 in Russian and held by 26 WorldCat member libraries worldwide
5 editions published in 1984 in Russian and held by 26 WorldCat member libraries worldwide
Partial differential equations V : asymptotic methods for partial differential equations
by
M. V Fedori︠u︡k(
Book
)
1 edition published in 1999 in English and held by 24 WorldCat member libraries worldwide
The six articles in this EMS volume provide an overview of a number of contemporary techniques in the study of the asymptotic behavior of partial differential equations. These techniques include the Maslov canonical operator, semiclassical asymptotics of solutions and eigenfunctions, behavior of solutions near singular points of different kinds, matching of asymptotic expansions close to a boundary layer, and processes in inhomogeneous media. Asymptotic expansions are one of the most important areas in the theory of partial differential equations. Readers should find the wide variety of approaches of interest
1 edition published in 1999 in English and held by 24 WorldCat member libraries worldwide
The six articles in this EMS volume provide an overview of a number of contemporary techniques in the study of the asymptotic behavior of partial differential equations. These techniques include the Maslov canonical operator, semiclassical asymptotics of solutions and eigenfunctions, behavior of solutions near singular points of different kinds, matching of asymptotic expansions close to a boundary layer, and processes in inhomogeneous media. Asymptotic expansions are one of the most important areas in the theory of partial differential equations. Readers should find the wide variety of approaches of interest
The Cauchy problem ; Qualitative theory of partial differential equations
(
Book
)
2 editions published in 1991 in English and held by 13 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 13 WorldCat member libraries worldwide
Harmonic, wavelet and padic analysis
by
N. M Chuong(
)
2 editions published in 2007 in English and held by 13 WorldCat member libraries worldwide
The mutual influence between mathematics and science and technology is becoming more and more widespread with profound connections among them being discovered. In particular, important connections between harmonic analysis, wavelet analysis and padic analysis have been found recently. This volume reports these findings and guides the reader towards the latest areas for further research. It is divided into two parts: harmonic, wavelet and padic analysis and padic and stochastic analysis
2 editions published in 2007 in English and held by 13 WorldCat member libraries worldwide
The mutual influence between mathematics and science and technology is becoming more and more widespread with profound connections among them being discovered. In particular, important connections between harmonic analysis, wavelet analysis and padic analysis have been found recently. This volume reports these findings and guides the reader towards the latest areas for further research. It is divided into two parts: harmonic, wavelet and padic analysis and padic and stochastic analysis
Microlocal analysis and hyperbolic equations
(
Book
)
2 editions published in 1993 in English and held by 13 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 13 WorldCat member libraries worldwide
Partial differential equations
(
Book
)
1 edition published in 1996 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 8 WorldCat member libraries worldwide
Lekt︠s︡ii po uravnenii︠a︡m s chastnymi proizvodnymi
by
I︠U︡. V Egorov(
Book
)
2 editions published in 1985 in Russian and held by 8 WorldCat member libraries worldwide
2 editions published in 1985 in Russian and held by 8 WorldCat member libraries worldwide
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Associated Subjects
Boundary value problems ChemistryMathematics Differential equations Differential equations, Elliptic Differential equations, Hyperbolic Differential equations, Linear Differential equations, Partial Differential equations, PartialAsymptotic theory Differential operators Eigenvalues Elliptic operators Engineering Fourier integral operators Global analysis (Mathematics) Global differential geometry Hamiltonian systems Harmonic analysis Mathematics Microlocal analysis padic analysis Parabolic operators Pseudodifferential operators Singularities (Mathematics) Spectral theory (Mathematics)
Alternative Names
Egorov, I. V.
Egorov, IU V.
Egorov, I︠U︡. V. 1938
Egorov, I︠U︡riĭ Vladimirovich
Egorov, I︠U︡riĭ Vladimirovich 1938
Egorov, Iurii Vladimirovitch
Egorov, Ju. V.
Egorov, Ju. V. 1938
Egorov, Jurij Vladimirovič
Egorov, Jurij Vladimirovič 1938
Egorov, Jurij Vladimirovič. [t]
Egorov, Û. V.
Egorov, Y.
Egorov, Y. V.
Egorov, Yu.V.
Egorov, Yu. V. 1938
Egorov, Yuri.
Egorov, Yuri V.
Egorov, Yuri V. 1938
Egorov, Yuri Vladimirovich 1938
Egorov, Yurij Vladimirovich
Egorov, Yurij Vladimirovtch
Егоров, Юрий Владимирович.
Егоров, Юрий Владимирович 1938...
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