Linear Partial Differential Operators In Gevrey Spaces

Linear Partial Differential Operators In Gevrey Spaces

By: Luigi Rodino (author)Hardback

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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.

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.

Product Details

  • ISBN13: 9789810208455
  • Format: Hardback
  • Number Of Pages: 264
  • ID: 9789810208455
  • ISBN10: 9810208456

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