Conical refraction and higher microlocalization / Otto Liess.
Material type:
TextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1555.Publication details: Berlin ; New York : Springer-Verlag, ©1993.Description: 1 online resource (x, 389 pages)Content type: - text
- computer
- online resource
- 9783540479055
- 3540479058
- Differential equations, Partial
- Microlocal analysis
- Singularities (Mathematics)
- Équations aux dérivées partielles
- Analyse microlocale
- Singularités (Mathématiques)
- Ecuaciones en derivadas parciales
- Singularidades (Matemáticas)
- Differential equations, Partial
- Microlocal analysis
- Singularities (Mathematics)
- Singularität Mathematik
- Partielle Differentialgleichung
- Lösung Mathematik
- Mikrolokalisation
- Konische Refraktion
- Maxwellsche Gleichungen
- Partiële differentiaalvergelijkingen
- Singulariteiten
- Differential equations, Partial
- Microlocal analysis
- Singularities (Mathematics)
- Singularität (Mathematik)
- Lösung (Mathematik)
- Differential equations, Partial
- Microlocal analysis
- Singularities (Mathematics)
- 510 s 515/.353 20
- QA3 .L28 no. 1555 QA377
- 31.45
- 31.55
- *35-02
- 35A27
- 35S30
- 58J47
- SI 850
- 27 | 29
- MAT 350f
- PHY 011f
- digitized 2010 HathiTrust Digital Library committed to preserve
| Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|---|
eBook
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e-Library | eBook LN Mathematic | Available |
Includes bibliographical references (pages 380-385) and index.
The main topic of the book is higher analytic microlocalization and its application to problems of propagation of singularities. The part on higher microlocalization could serve as an introduction to the subject. The results on propagation refer to solutions of linear partial differentialoperators with characteristics of variable multiplicity and are of conical refraction type. The relation and interplay between these results and results or constructions from geometrical optics in crystal theory is discussed with many details. The notes are written foremost for researchers working in microlocal analysis, but it is hoped that they can also be of interest for mathematicians and physicists who work in propagation phenomena from a more classical point of view.
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Print version record.
Higher order wave front sets -- Pseudodifferential operators -- Bi-symplectic geometry and multihomogeneous maps -- Fourier Integral Operators -- Conical refraction, hyperbolicity and slowness surfaces -- Propagation of regularity up to the boundary -- Some results on transmission problems -- Partial analyticity, higher microlocalization and sheaves.