Microlocal analysis for differential operators : an introduction / Alain Grigis, Johannes Sjöstrand.

Format:

Book

Author/Creator:

Grigis, Alain.

Contributor:

Sjöstrand, J. (Johannes)

Series:

London Mathematical Society lecture note series ; 196.

London Mathematical Society lecture note series

Language:

English

Subjects (All):

Differential operators.

Fourier integral operators.

Physical Description:

151 pages : illustrations ; 23 cm.

Place of Publication:

Cambridge ; New York : Cambridge University Press, 1994.

Summary:

This book corresponds to a graduate course given many times by the authors, and should prove to be useful to mathematicians and theoretical physicists.

Contents:

1. Symbols and oscillatory integrals 5

2. The method of stationary phase 19

3. Pseudodifferential operators 27

4. Application to elliptic operators and L[superscript 2] continuity 41

5. Local symplectic geometry I (Hamilton-Jacobi theory) 55

6. The strictly hyperbolic Cauchy problem

construction of a parametrix 67

7. The wavefront set (singular spectrum) of a distribution 77

8. Propagation of singularities for operators of real principle type 89

9. Local symplectic geometry II 97

10. Canonical transformations of pseudodifferential operators 107

11. Global theory of Fourier integral operators 119

12. Spectral theory for elliptic operators 131.

Notes:

Includes bibliographical references (pages 145-148) and indexes.

ISBN:

0521449863

OCLC:

30012038