Linear partial differential operators in Gevrey spaces

Author(s)

• Rodino, L. (Luigi)

Bibliographic Information

Linear partial differential operators in Gevrey spaces

Luigi Rodino

World Scientific, c1993

Note

Includes bibliography and index

Description and Table of Contents

Description

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.

Table of Contents

• 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.

by "Nielsen BookData"

Details

• NCID: BA19823362
• ISBN:
  • 9810208456
• Country Code: si
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Singapore
• Pages/Volumes: viii, 251 p.
• Size: 23 cm