Linear Partial Differential Operators In Gevrey Spaces
Seiten
1993
World Scientific Publishing Co Pte Ltd (Verlag)
9789810208455 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
9789810208455 (ISBN)
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Devoted to new and classical results of the theory of linear partial differential operators in Gevrey spaces, this book adopts the "microlocal approach", using pseudo-differential operators, wave front sets and Fourier integral operators.
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.
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.
| Erscheint lt. Verlag | 1.3.1993 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-13 | 9789810208455 / 9789810208455 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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