LINEAR PARTIAL DIFFERENTIAL OPERATORS IN GEVREY SPACES
by Luigi Rodino (Univ. Torino)
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.
Contents:
- Introduction
- Gevrey Functions and Ultradistributions
- Basic Problems and Basic
Operators in Gevrey Classes
- Pseudo-Differential Operators
- Operators with Multiple Characteristics
Readership: Mathematicians.
"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."
| 264pp |
Pub. date: Mar 1993 |
