Partial Differential Equations IV: Microlocal Analysis and Hyperbolic Equations: 33 (Encyclopaedia of Mathematical Sciences, 33) - Hardcover

Hardcover

ISBN 10: 354053363X ISBN 13: 9783540533634

Publisher: Springer, 1993

Synopsis

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.

About this title

Product Description

A two-part monograph covering recent research in an important field, previously scattered in numerous journals, including the latest results in the theory of mixed problems for hyperbolic operators. The book is hence of immense value to graduate students and researchers in partial differential equations and theoretical physics.

Edition details

• Publisher: Springer
• Publication date: 1993
• Language: English
• ISBN 10: 354053363X
• ISBN 13: 9783540533634
• Binding: Hardcover
• Number of pages: 252
• Editor: Egorov Yu.V., Shubin M.A.