LINEAR PARTIAL DIFFERENTIAL OPERATORS IN GEVREY SPACES

by L Rodino

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.

264 pages, Hardcover

Published March 1, 1993

Reviews

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C^{infty} wave front set? [Hormander 1]