Pseudodifferential Operators (PMS-34).

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 t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Taylor, Michael Eugene
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton University Press, 2017.
Colección:Princeton mathematical series ; 34.
Temas:
Differential equations, Partial.
Pseudodifferential operators.
Équations aux dérivées partielles.
Opérateurs pseudo-différentiels.
MATHEMATICS > Differential Equations > General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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