Partial differential equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1975
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Applied mathematical sciences
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 250 S. Ill. |
Internformat
MARC
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| 245 | 1 | 0 | |a Partial differential equations |c F. John |
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Datensatz im Suchindex
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| 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 |
| any_adam_object | 1 |
| author | John, Fritz 1910-1994 |
| author_GND | (DE-588)119540053 |
| author_facet | John, Fritz 1910-1994 |
| author_role | aut |
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| author_variant | f j fj |
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| classification_rvk | QH 150 SK 540 |
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| 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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| physical | VIII, 250 S. Ill. |
| publishDate | 1975 |
| publishDateSearch | 1975 |
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| series | Applied mathematical sciences |
| series2 | Applied mathematical sciences |
| spelling | John, Fritz 1910-1994 Verfasser (DE-588)119540053 aut Partial differential equations F. John 2. ed. New York [u.a.] Springer 1975 VIII, 250 S. Ill. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 1 Ecuaciones diferenciales parciales Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content Partielle Differentialgleichung (DE-588)4044779-0 s 2\p DE-604 Applied mathematical sciences 1 (DE-604)BV000005274 1 HBZ Datenaustausch application/pdf 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 Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| 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 |
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