Partial differential equations
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| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1975
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| Ausgabe: | 2. ed. |
| Schriftenreihe: | Applied mathematical sciences
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Partial differential equations |c F. John |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 1975 | |
| 300 | |a VIII, 250 S. |b Ill. | ||
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Datensatz im Suchindex
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|---|---|
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| DE-BY-TUM_call_number | 0511 Dc.4 |
| DE-BY-TUM_katkey | 160869 |
| DE-BY-TUM_location | LSB |
| DE-BY-TUM_media_number | TEMP2894652 |
| DE-BY-UBM_katkey | 2945643 |
| DE-BY-UBM_media_number | 41603032390014 |
| DE-BY-UBR_call_number | 00/SK 540 J65(2) |
| DE-BY-UBR_katkey | 435718 |
| DE-BY-UBR_location | 00 |
| DE-BY-UBR_media_number | 069018137251 |
| _version_ | 1823052756415414272 |
| adam_text | Titel: Partial differential equations
Autor: John, Fritz
Jahr: 1975
TABLE OF CONTENTS Introduction ......... ..... ............... 1 CHAPTER I - THE SINGLE FIRST ORDER EQUATION 1. The linear and quasi-linear equations........... 6 2. The general first order equation for a function of two variables................. 15 3. The general first order equation for a function of n independent variables...........37 CHAPTER II - THE CAUCHY PROBLEM FOR HIGHER ORDER EQUATIONS 1. Analytic functions of several real variables.......i*8 2, Formulation of the Cauchy problem. The notion of characteristics. ..... .......... 5^ 3. The Cauchy problem for the general non-linear equation..................... 71 k. The Cauchy-Kowalewsky theorem............... 76 CHAPTER III - SECOND ORDER EQUATIONS WITH CONSTANT COEFFICIENTS I. Equations in two independent variables. Canonical forms ................. 87 2. The one-dimensional wave equation..... ........ g2 3. The wave equation in higher dimensions. Method of spherical means. Method of descent.......101 it. The inhomogeneous wave equation by Duhamel s principle....................110 5. The potential equation in two dimensions ......... Il6 6. The Dirichlet problem................... 127 7. The Green s function and the fundamental solution..... 1^5 8. Equations related to the potential equation........151 9. Continuation of harmonic functions ......... ... 167 10. The heat equation.....................170 CHAPTER IV - THE CAUCHY PROBLEM FOR LINEAR HYPERBOLIC EQUATIONS IN GENERAL 1, Riemann s method of integration.............. l86
Vlll 2. Higher order equations in two independent variables..... 196 3. The method of plane waves.................. 2ol+ LIST OF BOOKS RECOMMENDED FOR FURTHER STUDY................215 PROBLEMS..................................217 INDEX...................................21+6
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| any_adam_object | 1 |
| author | John, Fritz 1910-1994 |
| author_GND | (DE-588)119540053 |
| author_facet | John, Fritz 1910-1994 |
| author_role | aut |
| author_sort | John, Fritz 1910-1994 |
| author_variant | f j fj |
| building | Verbundindex |
| bvnumber | BV001957183 |
| classification_rvk | QH 150 SK 540 |
| ctrlnum | (OCoLC)721324751 (DE-599)BVBBV001957183 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2025-02-03T16:57:40Z |
| institution | BVB |
| language | English |
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| physical | VIII, 250 S. Ill. |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Springer |
| record_format | marc |
| series | Applied mathematical sciences |
| series2 | Applied mathematical sciences |
| spellingShingle | John, Fritz 1910-1994 Partial differential equations Applied mathematical sciences Ecuaciones diferenciales parciales Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)1071861417 |
| title | Partial differential equations |
| title_auth | Partial differential equations |
| title_exact_search | Partial differential equations |
| title_full | Partial differential equations F. John |
| title_fullStr | Partial differential equations F. John |
| title_full_unstemmed | Partial differential equations F. John |
| title_short | Partial differential equations |
| title_sort | partial differential equations |
| topic | Ecuaciones diferenciales parciales Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Ecuaciones diferenciales parciales Partielle Differentialgleichung Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001275923&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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