Linear Partial Differential Operators in Gevrey Spaces

Linear Partial Differential Operators in Gevrey Spaces

Author: Luigi Rodino

Publisher: World Scientific

Published: 1993

Total Pages: 272

ISBN-13: 9789810208455

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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, cì 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.