Linear Partial Differential Operators in Gevrey Spaces
By: Luigi Rodino (author)Hardback
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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, 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.
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.
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- ID: 9789810208455
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