Lectures on Cauchy problem:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bombay
Tata Institute of Fundamental Research
1965
|
| Series: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics
35 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | II, 226, III Bl. |
Staff View
MARC
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| 245 | 1 | 0 | |a Lectures on Cauchy problem |c by Sigeru Mizohata. Notes by M. K. Venkatesha Murthy ... |
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| 490 | 1 | |a Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |v 35 | |
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Record in the Search Index
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| adam_text | Page
CHAPTER 1
§ 1. Preliminaries and function spaces ... ... 1
§ 2. Cauchy Problem ... ... 6
S 3. Cauchy Kowalevsky tneorem ana Holmgren s theorem 9
S 4. Solvability of the Cauchy problem in the class ^ 13
CHAPTER II
§ 1 . ... ... 17
§ 2. Well posedness and uniform well posedness of the
Cauchy problem ... ... 20
« 3. Cauchy problem for a single equation of order m ... 30
§4. 37
§ 5. Hyperbolic and strongly hyperbolic systems ... 42
CHAPTER III
| 1. Energy inequality for symmetric hyperbolic systems 54
§ 2. Some remarks on the energy inequalities ... 60
S 3. Singular integral operators ... ... 64
§ 4. ...... 67
S 5. Extension of Garding s inequality to singular
integral operators ... ... 77
§ 6. Energy inequalities for regular hyperbolic systems 101
igi 7 Uniqueness theorems ... ... 112
§ 8. Existence theorems ... ... 121
§ 9. Necessary and sufficient condition for the well
posedness of the Cauchy problem ... ... 139
ii
Page
CHAPTER IV
§ 1. Parabolic equations ... ... ... 153
§ 2. Energy inequality for parabolic equations , .. 156
CHAPTER V
S 1. Preliminaries to the study of semi linear equations 166
S 2. Regularity of some non linear functions ... 181
g 3. An example of a semi linear equation ... 187
s 4. Existence theorems for first order systems of semi
linear equations ... ... 194
§ 5. Existence theorems for a single semi linear equation
of higher order ... ... 204
Bibliography ... ... 213
Errata ... ... 216
|
| any_adam_object | 1 |
| author | Mizohata, Sigeru |
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| dewey-full | 517.383 |
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| discipline | Mathematik |
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| id | DE-604.BV004545889 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:14:06Z |
| institution | BVB |
| language | English |
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| oclc_num | 246868 |
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| owner_facet | DE-91G DE-BY-TUM DE-20 DE-19 DE-BY-UBM DE-703 DE-355 DE-BY-UBR DE-29T DE-188 |
| physical | II, 226, III Bl. |
| publishDate | 1965 |
| publishDateSearch | 1965 |
| publishDateSort | 1965 |
| publisher | Tata Institute of Fundamental Research |
| record_format | marc |
| series2 | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |
| spelling | Mizohata, Sigeru Verfasser aut Lectures on Cauchy problem by Sigeru Mizohata. Notes by M. K. Venkatesha Murthy ... Bombay Tata Institute of Fundamental Research 1965 II, 226, III Bl. txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics 35 Cauchy, Problème de ram Cauchy problem Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd rswk-swf Cauchy-Anfangswertproblem (DE-588)4147404-1 s DE-604 Murthy, Venkatesha Sonstige oth Mathematics Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics 35 (DE-604)BV000015654 35 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002797155&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mizohata, Sigeru Lectures on Cauchy problem Cauchy, Problème de ram Cauchy problem Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd |
| subject_GND | (DE-588)4147404-1 |
| title | Lectures on Cauchy problem |
| title_auth | Lectures on Cauchy problem |
| title_exact_search | Lectures on Cauchy problem |
| title_full | Lectures on Cauchy problem by Sigeru Mizohata. Notes by M. K. Venkatesha Murthy ... |
| title_fullStr | Lectures on Cauchy problem by Sigeru Mizohata. Notes by M. K. Venkatesha Murthy ... |
| title_full_unstemmed | Lectures on Cauchy problem by Sigeru Mizohata. Notes by M. K. Venkatesha Murthy ... |
| title_short | Lectures on Cauchy problem |
| title_sort | lectures on cauchy problem |
| topic | Cauchy, Problème de ram Cauchy problem Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd |
| topic_facet | Cauchy, Problème de Cauchy problem Cauchy-Anfangswertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002797155&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT mizohatasigeru lecturesoncauchyproblem AT murthyvenkatesha lecturesoncauchyproblem |