Singularities in Linear Wave Propagation
These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1987, 1987
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| Edition: | 1st ed. 1987 |
| Series: | Nankai Institute of Mathematics, Tianjin, P.R. China
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Singularities in linear wave propagation
- Hyperbolic operators with constant coefficients
- Wave front sets and oscillatory integrals
- Pseudodifferential operators
- The Hamilton-Jacobi equation and symplectic geometry
- A global parametrix for the fundamental solution of a first order hyperbolic pseudodifferential operator
- Changes of variables and duality for general oscillatory integrals
- Sharp and diffuse fronts of paired oscillatory integrals