Linear partial differential operators in Gevrey spaces:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Singapore u.a.
World Scientific
1993
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006078252&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | VIII, 251 S. |
| ISBN: | 9810208456 |
Internformat
MARC
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| 100 | 1 | |a Rodino, Luigi |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Linear partial differential operators in Gevrey spaces |c Luigi Rodino |
| 264 | 1 | |a Singapore u.a. |b World Scientific |c 1993 | |
| 300 | |a VIII, 251 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Differentiaaloperatoren |2 gtt | |
| 650 | 7 | |a Gevrey-ruimten |2 gtt | |
| 650 | 7 | |a Lineaire operatoren |2 gtt | |
| 650 | 4 | |a Microlocal analysis | |
| 650 | 4 | |a Partial differential operators | |
| 650 | 0 | 7 | |a Gevrey-Raum |0 (DE-588)4347105-5 |2 gnd |9 rswk-swf |
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| 689 | 0 | 0 | |a Pseudodifferentialoperator |0 (DE-588)4047640-6 |D s |
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Datensatz im Suchindex
| _version_ | 1819367896717983744 |
|---|---|
| adam_text | CONTENTS
Introduction
Chapter I. Gevrey functions and ultradistributions
..................................... 5
Summary
........................................................................................................................
Б
1.1.
Notations
.............................................................................................................
б
1.2.
Identities and inequalities for factorials and binomial coefficients
9
1.3.
Schwartz distributions and C wave front set
............................... 12
1.4.
Gevrey functions
............................................................................................ 19
1.5.
Gevrey ultradistributions
........................................................................... 25
1.6.
Fourier transform in Gevrey spaces
.................................................... 30
1.7.
Gevrey wave front sets
.............................................................................. 36
1.8.
Inhomogeneous Gevrey classes
............................................................... 43
1.9.
Other generalized Gevrey classes and references
......................... 57
Chapter II. Basic problems and basic operators in Gevrey classes
...... 60
Summary
........................................................................................................................ 60
2.1.
The problem of the hypoellipticity
....................................................... 60
2.2.
Hypoelłiptic
operators with constant coefficients
......................... 67
2.3.
Basic operators of principal type
........................................................... 79
2.4.
The problem of the local solvability
..................................................... 85
2.5.
Hyperbolic operators with constant coefficients
........................... 92
2.6.
Other results for operators with constant coefficients
.............. 100
2.7.
The
microlocal
point of view
................................................................... 103
Chapter III. Pseudo-differential operators
........................................................ 112
Summary
........................................................................................................................ 112
3.1.
An introduction to the pseudo-differential calculus
.................... 112
3.2.
Pseudo-differential operators of infinite order
............................... 117
3.3.
Finite order pseudo-differential operators and applications to
the problem of the hypoellipticity
........................................................ 139
3.4.
Microlocalization
............................................................................................. 153
3.5.
General operators of principal type
...................................................... 168
3.6.
Inhomogeneous pseudo-differential operators
................................ 179
Chapter IV. Operators with multiple characteristics
................................... 186
Summary
....................................................................................................................... 186
4.1.
Propagation of singularities and hypoellipticity for operators
of type Li
........................................................................................................... 188
4.2.
Non-solvability for operators of type Ll
............................................ 205
4.3.
Operators of type L2
..................................................................................... 218
4.4.
Analytic-hypoelliptic operators which are not hypoelliptic in the
C00 sense
............................................................................................................. 226
4.5.
Additional references
................................................................................... 234
Bibliography
....................................................................................................................... 237
Index of notation
............................................................................................................. 251
|
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| author | Rodino, Luigi |
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| ctrlnum | (OCoLC)28693208 (DE-599)BVBBV009162881 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7242 |
| dewey-search | 515/.7242 |
| dewey-sort | 3515 47242 |
| dewey-tens | 510 - Mathematics |
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| id | DE-604.BV009162881 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:33:17Z |
| institution | BVB |
| isbn | 9810208456 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006078252 |
| oclc_num | 28693208 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-634 DE-739 DE-11 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-634 DE-739 DE-11 DE-188 |
| physical | VIII, 251 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | World Scientific |
| record_format | marc |
| spellingShingle | Rodino, Luigi Linear partial differential operators in Gevrey spaces Differentiaaloperatoren gtt Gevrey-ruimten gtt Lineaire operatoren gtt Microlocal analysis Partial differential operators Gevrey-Raum (DE-588)4347105-5 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)4347105-5 (DE-588)4047640-6 |
| title | Linear partial differential operators in Gevrey spaces |
| title_auth | Linear partial differential operators in Gevrey spaces |
| title_exact_search | Linear partial differential operators in Gevrey spaces |
| title_full | Linear partial differential operators in Gevrey spaces Luigi Rodino |
| title_fullStr | Linear partial differential operators in Gevrey spaces Luigi Rodino |
| title_full_unstemmed | Linear partial differential operators in Gevrey spaces Luigi Rodino |
| title_short | Linear partial differential operators in Gevrey spaces |
| title_sort | linear partial differential operators in gevrey spaces |
| topic | Differentiaaloperatoren gtt Gevrey-ruimten gtt Lineaire operatoren gtt Microlocal analysis Partial differential operators Gevrey-Raum (DE-588)4347105-5 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Differentiaaloperatoren Gevrey-ruimten Lineaire operatoren Microlocal analysis Partial differential operators Gevrey-Raum Pseudodifferentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006078252&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT rodinoluigi linearpartialdifferentialoperatorsingevreyspaces |