Linear partial differential operators in Gevrey spaces

著者

• Rodino, L. (Luigi)

書誌事項

Linear partial differential operators in Gevrey spaces

Luigi Rodino

World Scientific, c1993

注記

Includes bibliography and index

内容説明・目次

内容説明

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.

目次

• 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA19823362
• ISBN:
  • 9810208456
• 出版国コード: si
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Singapore
• ページ数/冊数: viii, 251 p.
• 大きさ: 23 cm