Pseudodifferential Operators (PMS-34) / / Michael Eugene Taylor.

Here Michael Taylor develops pseudodifferential operators as a tool for treating problems in linear partial differential equations, including existence, uniqueness, and estimates of smoothness, as well as other qualitative properties.Originally published in 1981.The Princeton Legacy Library uses the...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2017]
©1981
Year of Publication:2017
Language:English
Series:Princeton Mathematical Series ; 5157
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Physical Description:1 online resource (464 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Acknowledgments
  • Introduction
  • CHAPTER I. Distributions and Sobolev Spaces
  • CHAPTER II. Pseudodifferential Operators
  • CHAPTER III. Elliptic and Hypoelliptic Operators
  • CHAPTER IV. The Initial Value Problem and Hyperbolic Operators
  • CHAPTER V. Elliptic Boundary Value Problems
  • CHAPTER VI. Wave Front Sets and Propagation of Singularities
  • CHAPTER VII. The Sharp Gårding Inequality
  • CHAPTER VIII. Geometrical Optics and Fourier Integral Operators
  • CHAPTER IX. Reflection of Singularities
  • CHAPTER X. Grazing Rays and Diffraction
  • CHAPTER XI. LP and Holder Space Theory of Pseudodifferential Operators
  • CHAPTER XII. Spectral Theory and Harmonic Analysis of Elliptic Self-Adjoint Operators
  • CHAPTER XIII. The Calderon-Vaillancourt Theorem and Hörmander-Melin Inequalities
  • CHAPTER XIV. Uniqueness in the Cauchy Problem
  • CHAPTER XV. Operators with Double Characteristics
  • Bibliography
  • General Index
  • Index of Symbols