Elementary operators and solutions of the Korteweg-de Vries equation:
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| Main Author: | |
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| Format: | Book |
| Language: | German |
| Published: |
1996
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Jena, Univ., Diss., 1996 |
| Physical Description: | 63 Bl. |
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MARC
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| 100 | 1 | |a Aden, Helmut |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Elementary operators and solutions of the Korteweg-de Vries equation |c von Helmut Aden |
| 264 | 1 | |c 1996 | |
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| 500 | |a Jena, Univ., Diss., 1996 | ||
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Record in the Search Index
| _version_ | 1812453331562397696 |
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| adam_text |
1
CONTENTS
I INTRODUCTION 2
II BASIC NOTIONS 5
II. 1 OPERATOR IDEALS. 6
II. 2 TRACES AND DETERMINANTS. 7
III A SPECTRAL THEOREM 9
III. L THE GELFAND-MAZUR THEOREM IN P-ALGEBRAS . 10
III. 2 THE MAIN RESULT. 12
IV THE OPERATOR EQUATION
XA + BX = C
19
IV. 1 SOLVING THE EQUATION
XA + BX
=
C
. 19
IV.2 A COUNTER EXAMPLE. 21
IV. 3 A REMARK ON NUCLEAR HANKEL OPERATORS. 23
V TRACES, DETERMINANTS AND SOLUTIONS OF THE KDV EQUATION 27
V. L WHY DO WE USE TRACES?. 27
V. 2 REALIZATIONS OF SOLUTIONS OF THE KDV EQUATION. 31
VI REALIZATIONS OF SOLUTIONS BY DETERMINANTS 34
VI. 1 REALIZATIONS OF SOLUTIONS BY DETERMINANTS OF NUCLEAR OPERATORS. 34
VI.2 DIAGONAL OPERATORS AND REALIZATIONS OF SOLUTIONS BY SPECTRAL
DETERMINANTS . . 36
VI. 3 A CONSERVATION LAW FOR SOLUTIONS OF THE KDV-EQUATION. 43
VII SOME REMARKS ON THE INVERSE SCATTERING METHOD 46
VII. 1 THE GELFAND-MARCHENKO EQUATION. 46
VII.2 SOLUTIONS WITH NON TRIVIAL REFLECTION COEFFICIENT. 50
VIII APPENDIX
59
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/950072222 |
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| author_facet | Aden, Helmut |
| author_role | aut |
| author_sort | Aden, Helmut |
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| building | Verbundindex |
| bvnumber | BV011332737 |
| classification_tum | MAT 354d |
| ctrlnum | (OCoLC)64542274 (DE-599)BVBBV011332737 |
| discipline | Mathematik |
| format | Book |
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| language | German |
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| spelling | Aden, Helmut Verfasser aut Elementary operators and solutions of the Korteweg-de Vries equation von Helmut Aden 1996 63 Bl. txt rdacontent n rdamedia nc rdacarrier Jena, Univ., Diss., 1996 Korteweg-de-Vries-Gleichung (DE-588)4287203-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Korteweg-de-Vries-Gleichung (DE-588)4287203-0 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007614402&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Aden, Helmut Elementary operators and solutions of the Korteweg-de Vries equation Korteweg-de-Vries-Gleichung (DE-588)4287203-0 gnd |
| subject_GND | (DE-588)4287203-0 (DE-588)4113937-9 |
| title | Elementary operators and solutions of the Korteweg-de Vries equation |
| title_auth | Elementary operators and solutions of the Korteweg-de Vries equation |
| title_exact_search | Elementary operators and solutions of the Korteweg-de Vries equation |
| title_full | Elementary operators and solutions of the Korteweg-de Vries equation von Helmut Aden |
| title_fullStr | Elementary operators and solutions of the Korteweg-de Vries equation von Helmut Aden |
| title_full_unstemmed | Elementary operators and solutions of the Korteweg-de Vries equation von Helmut Aden |
| title_short | Elementary operators and solutions of the Korteweg-de Vries equation |
| title_sort | elementary operators and solutions of the korteweg de vries equation |
| topic | Korteweg-de-Vries-Gleichung (DE-588)4287203-0 gnd |
| topic_facet | Korteweg-de-Vries-Gleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007614402&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT adenhelmut elementaryoperatorsandsolutionsofthekortewegdevriesequation |