An Introduction to Microlocal Analysis
Microlocal analysis provides a powerful, versatile, and modular perspective on the analysis of linear partial differential equations. This text, developed from a first-year graduate course, provides an accessible introduction and develops, from first principles, the core notions and results includin...
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| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edició: | 1st ed. 2025. |
| Col·lecció: | Graduate Texts in Mathematics,
304 |
| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-3-031-90706-7 |
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Taula de continguts:
- Preface
- 1. Introduction
- 2. Schwartz functions and tempered distributions
- 3. Symbols
- 4. Pseudodifferential operators
- 5. Pseudodifferential operators on manifolds
- 6. Microlocalization
- 7. Hyperbolic evolution equations and Egorov's theorem
- 8. Real principal type propagation of singularities
- 9. Solving wave-type equations
- 10. Propagation of singularities at radial sets
- 11. Late time asymptotics of linear waves on de Sitter space
- Bibliography
- Index.