"The book is well written, reasonably self-contained, gives a number of examples, and has an adequate bibliography." Otto Liess SIAM Review, 1995 "The book is a good introduction to the Gevrey microlocal analysis for students and post-graduate students, but it is also useful for all specialists working in the domain of the general theory of linear partial differential operators." Mathematics Abstracts

The book is devoted to new and classical results of the theory of linear partial differential operators in Gevrey spaces. The “microlocal approach” is adopted, by using pseudo-differential operators, wave front sets and Fourier integral operators.Basic results for Schwartz-distributions, c∞ and analytic classes are also included, concerning hypoellipticity, solvability and propagation of singularities.Also included is a self-contained exposition of the calculus of the pseudo-differential operators of infinite order.
Les mer
Devoted to new and classical results of the theory of linear partial differential operators in Gevrey spaces, this book adopts the "microlocal approach", using pseudo-differential operators, wave front sets and Fourier integral operators.
Les mer
Differential operators with constant coefficients; Gevrey pseudo-differential operators of infinite order; canonical transformations and classical analytic Fourier integral operators; propagation of Gevrey singularities; Gevrey hypoellipticity; the Cauchy problem in the Gevrey classes; local solvability in Gevrey classes.
Les mer

Produktdetaljer

ISBN
9789810208455
Publisert
1993-03-01
Utgiver
Vendor
World Scientific Publishing Co Pte Ltd
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
264

Forfatter