ENGLISH

Partial Differential Equations IV: Microlocal Analysis and Hyperbolic Equations

By Yu. V. Egorov , Yu. V. Egorov (auth.) , M. A. Shubin (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1993
ISBN
9783540533634, 354053363X
DOI
10.1007/978-3-662-09207-1
Open Library ID
OL9867346M
Language
english
Format
DJVU
Filesize
2 MB (1728421 bytes)
Series
Encyclopaedia of Mathematical Sciences 33
Volume
Part 4
Edition
1
Pages
244\240
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11
Analysis; TheoreticalMathematical and Computational Physics

Description

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.

Similar books