Egorov, I︠U︡. V. (I︠U︡riĭ Vladimirovich)
Overview
Works:  62 works in 261 publications in 3 languages and 1,643 library holdings 

Roles:  Author, Editor, Creator, Translator, Other 
Classifications:  QA374, 515.353 
Publication Timeline
.
Most widely held works by
I︠U︡. V Egorov
Partial differential equations III by
I︠U︡. V Egorov(
Book
)
21 editions published in 1991 in English and held by 250 WorldCat member libraries worldwide
21 editions published in 1991 in English and held by 250 WorldCat member libraries worldwide
Partial differential equations VI : elliptic and parabolic operators by
I︠U︡. V Egorov(
Book
)
26 editions published between 1988 and 1997 in English and Russian and held by 217 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
26 editions published between 1988 and 1997 in English and Russian and held by 217 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
On spectral theory of elliptic operators by
I︠U︡. V Egorov(
Book
)
14 editions published between 1991 and 2012 in English and held by 198 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
14 editions published between 1991 and 2012 in English and held by 198 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
Pseudodifferential operators, singularities, applications by
I︠U︡. V Egorov(
Book
)
8 editions published in 1997 in English and held by 173 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
8 editions published in 1997 in English and held by 173 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
Foundations of the classical theory of partial differential equations by
I︠U︡. V Egorov(
Book
)
32 editions published between 1991 and 1998 in English and held by 122 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
32 editions published between 1991 and 1998 in English and held by 122 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 VII : spectral theory of differential operators by
M. A Shubin(
Book
)
6 editions published between 1994 and 1996 in English and held by 77 WorldCat member libraries worldwide
This volume contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schrodinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the AtiyahSinger index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples
6 editions published between 1994 and 1996 in English and held by 77 WorldCat member libraries worldwide
This volume contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schrodinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the AtiyahSinger index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples
Partial differential equations IV : microlocal analysis and hyperbolic equations by
I︠U︡. V Egorov(
Book
)
20 editions published between 1991 and 1994 in English and Undetermined and held by 64 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
20 editions published between 1991 and 1994 in English and Undetermined and held by 64 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
)
15 editions published between 1991 and 1994 in English and held by 61 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
15 editions published between 1991 and 1994 in English and held by 61 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
Partial differential equations : Mark Vishik's seminar by
M. S Agranovich(
Book
)
16 editions published between 1992 and 1997 in English and German and held by 61 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
16 editions published between 1992 and 1997 in English and German and held by 61 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
Elements of the modern theory ; Equations with constant coefficients(
Book
)
2 editions published in 1994 in English and held by 57 WorldCat member libraries worldwide
2 editions published in 1994 in English and held by 57 WorldCat member libraries worldwide
Elements of the modern theory of partial differential equations by
I︠U︡. V Egorov(
Book
)
10 editions published between 1994 and 1999 in English and German and held by 48 WorldCat member libraries worldwide
10 editions published between 1994 and 1999 in English and German and held by 48 WorldCat member libraries worldwide
Partial differential equations(
Book
)
20 editions published between 1991 and 1997 in English and held by 37 WorldCat member libraries worldwide
20 editions published between 1991 and 1997 in English and held by 37 WorldCat member libraries worldwide
Microlocal analysis and hyperbolic equations(
Book
)
2 editions published in 1993 in English and held by 29 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 29 WorldCat member libraries worldwide
Partial differential equations by
Fritz John(
Book
)
1 edition published in 1999 in English and held by 24 WorldCat member libraries worldwide
This book is a very wellaccepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy' s example of a linear equation without solutions
1 edition published in 1999 in English and held by 24 WorldCat member libraries worldwide
This book is a very wellaccepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy' s example of a linear equation without solutions
Lineĭnye different︠s︡ialʹnye uravnenii︠a︡ glavnogo tipa by
I︠U︡. V Egorov(
Book
)
5 editions published in 1984 in Russian and held by 12 WorldCat member libraries worldwide
5 editions published in 1984 in Russian and held by 12 WorldCat member libraries worldwide
Lekcii po uravnenijam s častnymi proizvodnymi : dopolnitelʹnye glavy by
I︠U︡. V Egorov(
Book
)
6 editions published in 1985 in Russian and Undetermined and held by 8 WorldCat member libraries worldwide
6 editions published in 1985 in Russian and Undetermined and held by 8 WorldCat member libraries worldwide
Linear differential equations of principal type by
I︠U︡. V Egorov(
Book
)
3 editions published in 1986 in English and held by 7 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 7 WorldCat member libraries worldwide
The Cauchy problem ; Qualitative theory of partial differential equations(
Book
)
2 editions published in 1991 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 6 WorldCat member libraries worldwide
Ten papers on functional analysis and measure theory by
Leonid Mikhaĭlovich Abramov(
Book
)
2 editions published in 1966 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1966 in English and held by 6 WorldCat member libraries worldwide
Partial differential equations. Asymptotic methods for partial differential equations(
Book
)
3 editions published in 1999 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1999 in English and held by 4 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 Equations Fourier integral operators Functional analysis Global analysis (Mathematics) Global differential geometry Hamiltonian systems Mathematical analysis Mathematics Measure theory Microlocal 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 B. 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, Yuriǐ Vladimirovich
Egorov, Yurii Vladimirovich 1938
Egorov, Yurij Vladimirovich
Egorov, Yurij Vladimirovtch
Егоров, Юрий Владимирович
Егоров, Юрий Владимирович 1938...
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