Egorov, Yurii VladimirovichOverview
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Most widely held works by
Yurii Vladimirovich Egorov
Linear differential equations of principal type
by I︠U︡. V Egorov
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Book
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1 edition published in 1986 in English and held by 4 WorldCat member libraries worldwide
Partial differential equations III
by I︠U︡. V Egorov
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Book
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1 edition published in 1991 in English and held by 4 WorldCat member libraries worldwide
Foundations of the classical theory of partial differential equations
by I︠U︡. V Egorov
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Book
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1 edition published in 1992 in English and held by 3 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 IV : microlocal analysis and hyperbolic equations
by I︠U︡. V Egorov
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Book
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1 edition published in 1993 in English and held by 3 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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1 edition published in 1994 in English and held by 2 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
Elements of the modern theory of partial diffrential equations
by Yurii Vladimirovich Egorov
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Book
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1 edition published in 1992 in English and held by 1 WorldCat member library worldwide Audience Level
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Egorov, Yuriǐ Vladimirovich
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