Multiplication of distributions and applications to partial differential equations:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Harlow, Essex
Longman Scientific & Technical
1992
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
259 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005060586&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XVII, 312 S. |
| ISBN: | 0582087333 |
Internformat
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| 245 | 1 | 0 | |a Multiplication of distributions and applications to partial differential equations |c M. Oberguggenberger |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow, Essex |b Longman Scientific & Technical |c 1992 | |
| 300 | |a XVII, 312 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-005060586 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 465f 2001 A 26718 |
|---|---|
| DE-BY-TUM_katkey | 592381 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010509934 |
| _version_ | 1821938642102255616 |
| adam_text | Contents
Preface x^
Preview and notation xv
Chapter I. Introduction
§ 1. Examples. Why multiply distributions? 1
§ 2. Difficulties and impossibility results 20
§ 3. What can be done? 30
Chapter II. Intrinsic distributional products
§ 4. General properties 37
§ 5. The duality method 41
§ 6. Fourier transform and convolution 49
§ 7. Regularization and passage to the limit 55
§ 8. Further extensions 74
Chapter III. The Colombeau algebras
§ 9. Basic definitions and properties 83
§ 10. Association, coherence, nonstandard aspects 93
§11. Restriction to subspaces, point values, integrals 100
§12. Variants of the algebras 106
Chapter IV. Semilinear hyperbolic systems
§13. Examples, the classical theory 116
§ 14. Delta waves and generalized solutions for 3tu = F(u) 127
§15. Delta waves for general equations and systems 136
§16. Solutions in the sense of Colombeau 148
§17. Hyperbolic systems with discontinuous coefficients 155
§18. A predator prey model with migration 170
ix
Chapter V. Quasilinear hyperbolic systems
§19. Conservative equations 181
§20. Nonconservative systems 200
Chapter VI. Nonlinear theories of generalized functions
§21. The general framework of Rosinger 218
§22. Applications of the nowhere dense ideal 236
§23. Nonstandard analysis 245
§24. Hyperbolic systems: solution concepts and delta 261
wave solutions
Chapter VII. Further results and open problems
§25. Regularity theory 272
§26. Further results 281
§27. Open problems 286
References 290
List of symbols 310
Index 311
x
|
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| author | Oberguggenberger, Michael 1953- |
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| author_facet | Oberguggenberger, Michael 1953- |
| author_role | aut |
| author_sort | Oberguggenberger, Michael 1953- |
| author_variant | m o mo |
| building | Verbundindex |
| bvnumber | BV007705620 |
| classification_rvk | SI 880 SK 600 |
| classification_tum | MAT 465f MAT 354f |
| ctrlnum | (OCoLC)246852332 (DE-599)BVBBV007705620 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV007705620 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:10:10Z |
| institution | BVB |
| isbn | 0582087333 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005060586 |
| oclc_num | 246852332 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-384 DE-12 DE-91G DE-BY-TUM DE-739 DE-29T DE-634 DE-11 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-384 DE-12 DE-91G DE-BY-TUM DE-739 DE-29T DE-634 DE-11 DE-188 |
| physical | XVII, 312 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Longman Scientific & Technical |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spellingShingle | Oberguggenberger, Michael 1953- Multiplication of distributions and applications to partial differential equations Pitman research notes in mathematics series Distribution Funktionalanalysis (DE-588)4070505-5 gnd Multiplikation (DE-588)4170732-1 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd |
| subject_GND | (DE-588)4070505-5 (DE-588)4170732-1 (DE-588)4131213-2 |
| title | Multiplication of distributions and applications to partial differential equations |
| title_auth | Multiplication of distributions and applications to partial differential equations |
| title_exact_search | Multiplication of distributions and applications to partial differential equations |
| title_full | Multiplication of distributions and applications to partial differential equations M. Oberguggenberger |
| title_fullStr | Multiplication of distributions and applications to partial differential equations M. Oberguggenberger |
| title_full_unstemmed | Multiplication of distributions and applications to partial differential equations M. Oberguggenberger |
| title_short | Multiplication of distributions and applications to partial differential equations |
| title_sort | multiplication of distributions and applications to partial differential equations |
| topic | Distribution Funktionalanalysis (DE-588)4070505-5 gnd Multiplikation (DE-588)4170732-1 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd |
| topic_facet | Distribution Funktionalanalysis Multiplikation Hyperbolische Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005060586&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
| work_keys_str_mv | AT oberguggenbergermichael multiplicationofdistributionsandapplicationstopartialdifferentialequations |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 465f 2001 A 26718
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |