Partial Differential Equations IV - Microlocal Analysis and Hyperbolic Equations (Hardcover, 1993 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Encyclopaedia of Mathematical Sciences, 33
Release date:	February 1993
First published:	1993
Translators:	P.C. Sinha
Editors:	Yu.V. Egorov
Contributors:	Yu.V. Egorov • V.Ya. Ivrii
Editors:	M.A. Shubin
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Hardcover
Pages:	244
Edition:	1993 ed.
ISBN-13:	978-3-540-53363-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	3-540-53363-X
Barcode:	9783540533634

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