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Catalogue Information
Field name	Details
Dewey Class	515
Title	Partial Differential Equations IV ([EBook]) : Microlocal Analysis and Hyperbolic Equations / edited by Yu. V. Egorov, M. A. Shubin.
Added Personal Name	Egorov, Iurii Vladimirovich
Added Personal Name	Shubin, Mikhail Aleksandrovich , 1944-
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1993.
Physical Details	VIII, 244 pages : online resource.
Series	Encyclopaedia of mathematical sciences 0938-0396 ; ; 33
ISBN	9783662092071
Summary Note	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 -well-posedness 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.:
Contents note	I. Microlocal Analysis -- II. Linear Hyperbolic Equations -- Author Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-09207-1
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Physics . Theoretical, Mathematical and Computational Physics . Authors: editor . Egorov, Iurii Vladimirovich . Shubin, Mikhail Aleksandrovich 1944- . Shubin, Mikhail Aleksandrovich 1944- . See Also: Egorov, Jurij V. . Egorov, Jurij V., 1938- . Egorov, Yu. V. . Corporate Authors: SpringerLink (Online service) . Series: Encyclopaedia of mathematical sciences . Classification: 515 .

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Partial Differential Equations IV: Microlocal Analysis and Hyperbolic Equations

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