Pseudo-Differential Operators, Singularities, Applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1997
|
| Schriftenreihe: | Operator Theory: Advances and Applications
93 |
| Schlagworte: | |
| Online-Zugang: | FHD01 Volltext |
| Beschreibung: | Pseudo-differential operators belong to the most powerful tools in the analysis of partial differential equations. Basic achievements in the early sixties have initiated a completely new understanding of many old and important problems in analy sis and mathematical physics. The standard calculus of pseudo-differential and Fourier integral operators may today be considered as classical. The development has been continuous since the early days of the first essential applications to ellip ticity, index theory, parametrices and propagation of singularities for non-elliptic operators, boundary-value problems, and spectral theory. The basic ideas of the calculus go back to Giraud, Calderon, Zygmund, Mikhlin, Agranovich, Dynin, Vishik, Eskin, and Maslov. Subsequent progress was greatly stimulated by the classical works of Kohn, Nirenberg and Hormander. In recent years there developed a new vital interest in the ideas of micro local analysis in connection with analogous fields of applications over spaces with singularities, e.g. conical points, edges, corners, and higher singularities. The index theory for manifolds with singularities became an enormous challenge for analysists to invent an adequate concept of ellipticity, based on corresponding symbolic structures. Note that index theory was another source of ideas for the later development of the theory of pseudo-differential operators. Let us mention, in particular, the fundamental contributions by Gelfand, Atiyah, Singer, and Bott |
| Beschreibung: | 1 Online-Ressource (XIII, 353 p) |
| ISBN: | 9783034889001 9783034898201 |
| DOI: | 10.1007/978-3-0348-8900-1 |
Internformat
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| 500 | |a Pseudo-differential operators belong to the most powerful tools in the analysis of partial differential equations. Basic achievements in the early sixties have initiated a completely new understanding of many old and important problems in analy sis and mathematical physics. The standard calculus of pseudo-differential and Fourier integral operators may today be considered as classical. The development has been continuous since the early days of the first essential applications to ellip ticity, index theory, parametrices and propagation of singularities for non-elliptic operators, boundary-value problems, and spectral theory. The basic ideas of the calculus go back to Giraud, Calderon, Zygmund, Mikhlin, Agranovich, Dynin, Vishik, Eskin, and Maslov. Subsequent progress was greatly stimulated by the classical works of Kohn, Nirenberg and Hormander. In recent years there developed a new vital interest in the ideas of micro local analysis in connection with analogous fields of applications over spaces with singularities, e.g. conical points, edges, corners, and higher singularities. The index theory for manifolds with singularities became an enormous challenge for analysists to invent an adequate concept of ellipticity, based on corresponding symbolic structures. Note that index theory was another source of ideas for the later development of the theory of pseudo-differential operators. Let us mention, in particular, the fundamental contributions by Gelfand, Atiyah, Singer, and Bott | ||
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Datensatz im Suchindex
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| author | Egorov, Yuri V. |
| author_facet | Egorov, Yuri V. |
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| author_sort | Egorov, Yuri V. |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8900-1 |
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| institution | BVB |
| isbn | 9783034889001 9783034898201 |
| language | English |
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| series2 | Operator Theory: Advances and Applications |
| spelling | Egorov, Yuri V. Verfasser aut Pseudo-Differential Operators, Singularities, Applications by Yuri V. Egorov, Bert-Wolfgang Schulze Basel Birkhäuser Basel 1997 1 Online-Ressource (XIII, 353 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory: Advances and Applications 93 Pseudo-differential operators belong to the most powerful tools in the analysis of partial differential equations. Basic achievements in the early sixties have initiated a completely new understanding of many old and important problems in analy sis and mathematical physics. The standard calculus of pseudo-differential and Fourier integral operators may today be considered as classical. The development has been continuous since the early days of the first essential applications to ellip ticity, index theory, parametrices and propagation of singularities for non-elliptic operators, boundary-value problems, and spectral theory. The basic ideas of the calculus go back to Giraud, Calderon, Zygmund, Mikhlin, Agranovich, Dynin, Vishik, Eskin, and Maslov. Subsequent progress was greatly stimulated by the classical works of Kohn, Nirenberg and Hormander. In recent years there developed a new vital interest in the ideas of micro local analysis in connection with analogous fields of applications over spaces with singularities, e.g. conical points, edges, corners, and higher singularities. The index theory for manifolds with singularities became an enormous challenge for analysists to invent an adequate concept of ellipticity, based on corresponding symbolic structures. Note that index theory was another source of ideas for the later development of the theory of pseudo-differential operators. Let us mention, in particular, the fundamental contributions by Gelfand, Atiyah, Singer, and Bott Mathematics Mathematics, general Mathematik Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Singularität Mathematik (DE-588)4077459-4 s Pseudodifferentialoperator (DE-588)4047640-6 s 1\p DE-604 Schulze, Bert-Wolfgang Sonstige oth https://doi.org/10.1007/978-3-0348-8900-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Egorov, Yuri V. Pseudo-Differential Operators, Singularities, Applications Mathematics Mathematics, general Mathematik Singularität Mathematik (DE-588)4077459-4 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4037379-4 (DE-588)4047640-6 |
| title | Pseudo-Differential Operators, Singularities, Applications |
| title_auth | Pseudo-Differential Operators, Singularities, Applications |
| title_exact_search | Pseudo-Differential Operators, Singularities, Applications |
| title_full | Pseudo-Differential Operators, Singularities, Applications by Yuri V. Egorov, Bert-Wolfgang Schulze |
| title_fullStr | Pseudo-Differential Operators, Singularities, Applications by Yuri V. Egorov, Bert-Wolfgang Schulze |
| title_full_unstemmed | Pseudo-Differential Operators, Singularities, Applications by Yuri V. Egorov, Bert-Wolfgang Schulze |
| title_short | Pseudo-Differential Operators, Singularities, Applications |
| title_sort | pseudo differential operators singularities applications |
| topic | Mathematics Mathematics, general Mathematik Singularität Mathematik (DE-588)4077459-4 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Singularität Mathematik Mannigfaltigkeit Pseudodifferentialoperator |
| url | https://doi.org/10.1007/978-3-0348-8900-1 |
| work_keys_str_mv | AT egorovyuriv pseudodifferentialoperatorssingularitiesapplications AT schulzebertwolfgang pseudodifferentialoperatorssingularitiesapplications |