Egorov, I︠U︡. V. (I︠U︡riĭ Vladimirovich)Overview
Publication Timeline
Most widely held works by
I︠U︡. V Egorov
Foundations of the classical theory of partial differential equations
by I︠U︡. V Egorov
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Book
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19 editions published between 1991 and 1998 in English and held by 242 WorldCat member libraries worldwide
Partial differential equations III
by I︠U︡. V Egorov
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Book
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16 editions published in 1991 in English and held by 241 WorldCat member libraries worldwide
Partial differential equations
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Book
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11 editions published between 1993 and 1997 in 3 languages and held by 213 WorldCat member libraries worldwide
Linear differential equations of principal type
by I︠U︡. V Egorov
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Book
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5 editions published in 1986 in English and held by 204 WorldCat member libraries worldwide
Partial differential equations IV : microlocal analysis and hyperbolic equations
by I︠U︡. V Egorov
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Book
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15 editions published between 1992 and 2011 in English and Undetermined and held by 196 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 VI : elliptic and parabolic operators
by I︠U︡. V Egorov
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Book
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13 editions published in 1994 in English and held by 195 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
Pseudodifferential operators, singularities, applications
by I︠U︡. V Egorov
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Book
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8 editions published in 1997 in English and Undetermined and held by 193 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
Partial differential equations II : elements of the modern theory ; equations with constant coefficients
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Book
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14 editions published in 1994 in English and held by 187 WorldCat member libraries worldwide
On spectral theory of elliptic operators
by I︠U︡. V Egorov
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Book
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7 editions published between 1991 and 2012 in English and held by 173 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
Partial differential equations IX : elliptic boundary value problems
by M. S Agranovich
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Book
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11 editions published in 1997 in English and held by 156 WorldCat member libraries worldwide
Elements of the modern theory of partial differential equations
by I︠U︡. V Egorov
(
Book
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8 editions published between 1994 and 1999 in English and held by 99 WorldCat member libraries worldwide
Partial differential equations VII : spectral theory of differential operators
by M. A Shubin
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Book
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4 editions published in 1994 in English and held by 61 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
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Book
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2 editions published in 1994 in English and held by 40 WorldCat member libraries worldwide
Lineĭnye different︠s︡ialʹnye uravnenii︠a︡ glavnogo tipa
by I︠U︡. V Egorov
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Book
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4 editions published in 1984 in Russian and held by 25 WorldCat member libraries worldwide
Foundations of the classical theory of partial differential equations
by I︠U︡. V Egorov
(
Book
)
5 editions published in 1998 in English and held by 23 WorldCat member libraries worldwide
Foundations of the classical theory of partial differential equations [R. V. Gamkrelidze, editor in chief]
by I︠U︡. V Egorov
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Book
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2 editions published in 1998 in English and held by 17 WorldCat member libraries worldwide
Microlocal analysis and hyperbolic equations
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Book
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2 editions published in 1993 in English and held by 13 WorldCat member libraries worldwide
The Cauchy problem ; Qualitative theory of partial differential equations
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Book
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2 editions published in 1991 in English and held by 13 WorldCat member libraries worldwide
Partial differential equations
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Book
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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
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Book
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2 editions published in 1985 in Russian and held by 8 WorldCat member libraries worldwide more
fewer
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Related Identities
Associated Subjects
Boundary value problems ChemistryMathematics Differential equations, Elliptic Differential equations, Hyperbolic Differential equations, Linear Differential equations, Partial Differential operators Eigenvalues Elliptic operators Engineering Fourier integral operators Global analysis (Mathematics) Global differential geometry Hamiltonian systems Mathematics Microlocal analysis Operator theory Parabolic operators Partial differential operators Pseudodifferential operators Singularities (Mathematics) Spectral theory (Mathematics)

Alternative Names
Egorov, I. V.
Egorov, I︠U︡. V. 1938
Egorov, I︠U︡riĭ Vladimirovich
Egorov, I︠U︡riĭ Vladimirovich 1938
Egorov, Iurii Vladimirovitch
Egorov, Ju. V. 1938
Egorov, Jurij Vladimirovič
Egorov, Jurij Vladimirovič 1938
Egorov, Jurij Vladimirovič. [t]
Egorov, Û. V.
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, 1938....
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