Agranovich, M. S.
Overview
Works:  23 works in 88 publications in 3 languages and 779 library holdings 

Roles:  Editor, Author, Other 
Classifications:  QA377, 515.353 
Publication Timeline
.
Most widely held works by
M. S Agranovich
Partial differential equations VII : spectral theory of differential operators by
M. A Shubin(
Book
)
29 editions published between 1994 and 2002 in English and held by 357 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
29 editions published between 1994 and 2002 in English and held by 357 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
Generalized method of eigenoscillations in diffraction theory(
Book
)
7 editions published in 1999 in English and German and held by 100 WorldCat member libraries worldwide
7 editions published in 1999 in English and German and held by 100 WorldCat member libraries worldwide
Partial differential equations V : asymptotic methods for partial differential equations by
M. V Fedori︠u︡k(
Book
)
5 editions published in 1996 in English and held by 16 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
5 editions published in 1996 in English and held by 16 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
Elliptic boundary value problems(
Book
)
2 editions published in 1997 in English and held by 12 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 12 WorldCat member libraries worldwide
Foundations of the classical theory of partial differential equations by
I︠U︡. V Egorov(
Book
)
7 editions published between 1991 and 1992 in English and held by 11 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
7 editions published between 1991 and 1992 in English and held by 11 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 VI : elliptic and parabolic operators by
I︠U︡. V Egorov(
Book
)
6 editions published between 1991 and 1994 in English and held by 10 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
6 editions published between 1991 and 1994 in English and held by 10 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 II : elements of the modern theory ; equations with constant coefficients(
Book
)
5 editions published between 1991 and 1994 in English and held by 9 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
5 editions published between 1991 and 1994 in English and held by 9 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 IV : microlocal analysis and hyperbolic equations by
I︠U︡. V Egorov(
Book
)
5 editions published in 1993 in English and held by 8 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
5 editions published in 1993 in English and held by 8 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 III by
I︠U︡. V Egorov(
Book
)
4 editions published in 1991 in English and held by 7 WorldCat member libraries worldwide
4 editions published in 1991 in English and held by 7 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
Obobščennyj metod sobstvennych kolebanij v teorii difrakcii by
Nikolaj Nikolaevič Vojtovič(
Book
)
2 editions published in 1977 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1977 in Russian and held by 3 WorldCat member libraries worldwide
Partial differential equations(
Book
)
in Undetermined and English and held by 3 WorldCat member libraries worldwide
in Undetermined and English and held by 3 WorldCat member libraries worldwide
Partial Differential Equations. Spectral theory of differential operators(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Partial Differential Equations. 03875200153 540520015. Elements of the modern theory. Equations with constant coefficients(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Partial differential equations : equations with constant coefficients(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Sobolev spaces, their generalizations and elliptic problems in smooth and Lipschitz domains by
M. S Agranovich(
)
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolevtype spaces and boundary value problems for linear elliptic partial differential equations. Its main focus is on problems in nonsmooth (Lipschitz) domains for strongly elliptic systems. The author, who is a prominent expert in the theory of linear partial differential equations, spectral theory, and pseudodifferential operators, has included his own very recent findings in the present book. The book is well suited as a modern graduate textbook, utilizing a thorough and clear format that strikes a good balance between the choice of material and the style of exposition. It can be used both as an introduction to recent advances in elliptic equations and boundary value problems, and as a valuable survey and reference work. It also includes a good deal of new and extremely useful material not available in standard textbooks to date. Graduate and postgraduate students, as well as specialists working in the fields of partial differential equations, functional analysis, operator theory, and mathematical physics will find this book particularly valuable
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolevtype spaces and boundary value problems for linear elliptic partial differential equations. Its main focus is on problems in nonsmooth (Lipschitz) domains for strongly elliptic systems. The author, who is a prominent expert in the theory of linear partial differential equations, spectral theory, and pseudodifferential operators, has included his own very recent findings in the present book. The book is well suited as a modern graduate textbook, utilizing a thorough and clear format that strikes a good balance between the choice of material and the style of exposition. It can be used both as an introduction to recent advances in elliptic equations and boundary value problems, and as a valuable survey and reference work. It also includes a good deal of new and extremely useful material not available in standard textbooks to date. Graduate and postgraduate students, as well as specialists working in the fields of partial differential equations, functional analysis, operator theory, and mathematical physics will find this book particularly valuable
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Related Identities
 Shubin, M. A. (Mikhail Aleksandrovich) 1944 Editor
 Egorov, I︠U︡. V. (I︠U︡riĭ Vladimirovich) Editor
 Vishik, M. I. Author
 Fedorjuk, Michail Vasil'evic Editor
 Gamkrelidze, R.V. Editor
 Sivov, Aleksej Nikolaevič
 Kacenelenbaum, Boris Zacharovič
 Nazajkinskij, Vladimir E.
 Vojtovič, Nikolaj Nikolaevič Author
Associated Subjects
Boundary value problems ChemistryMathematics Differential equations Differential equations, Elliptic Differential equations, Hyperbolic Differential equations, Partial Differential equations, PartialAsymptotic theory Differential operators Diffraction Elliptic operators Engineering Functional analysis Geometry, Algebraic Global analysis (Mathematics) Global differential geometry Hamiltonian systems Integral equations Mathematical analysis Mathematical physics Mathematics Microlocal analysis Operator theory Parabolic operators Potential theory (Mathematics) Sobolev spaces Spectral theory (Mathematics)