Partial Differential Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer US
1975
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Applied Mathematical Sciences
1 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | These Notes grew out of a course given by the author in 1952-53. Though the field of Partial Differential Equations has changed considerably since those days, particularly under the impact of methods taken from Functional Analysis, the author feels that the introductory material offered here still is basic for an understanding of the subject. It supplies the necessary intuitive foundation which motivates and anticipates abstract formulations of the questions and relates them to the description of natual phenomena. Added to this second corrected edition is a collection of problems and solutions, which illustrate and supplement the theories developed in the text. Fritz John New York September, 1974 vii TABLE OF CONTENTS Introduction 1 CHAPrER 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 The general first order equation for a function 3. of n independent variables.... 37 CHAPrER II - THE CAUCHY PROBLEM FOR HIGHER ORDER EQUATIONS 1. Analytic functions of several real variables- 48 2. Formulation of the Cauchy problem. The notion of characteristics. ... 54 3. The Cauchy problem for the general non-linear equation ... 71 4. The Cauchy-Kowalewsky theorem. 76 CHAPTER III - SECOND ORDER EQUATIONS WITH CONSTANT COEFFICIENTS 1. Equations in two independent variables |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461599791 9780387901114 |
| DOI: | 10.1007/978-1-4615-9979-1 |
Internformat
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Datensatz im Suchindex
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| discipline | Mathematik |
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| edition | Second Edition |
| format | Electronic eBook |
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| spelling | John, Fritz 1910-1994 Verfasser (DE-588)119540053 aut Partial Differential Equations by F. John Second Edition New York, NY Springer US 1975 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 1 These Notes grew out of a course given by the author in 1952-53. Though the field of Partial Differential Equations has changed considerably since those days, particularly under the impact of methods taken from Functional Analysis, the author feels that the introductory material offered here still is basic for an understanding of the subject. It supplies the necessary intuitive foundation which motivates and anticipates abstract formulations of the questions and relates them to the description of natual phenomena. Added to this second corrected edition is a collection of problems and solutions, which illustrate and supplement the theories developed in the text. Fritz John New York September, 1974 vii TABLE OF CONTENTS Introduction 1 CHAPrER 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 The general first order equation for a function 3. of n independent variables.... 37 CHAPrER II - THE CAUCHY PROBLEM FOR HIGHER ORDER EQUATIONS 1. Analytic functions of several real variables- 48 2. Formulation of the Cauchy problem. The notion of characteristics. ... 54 3. The Cauchy problem for the general non-linear equation ... 71 4. The Cauchy-Kowalewsky theorem. 76 CHAPTER III - SECOND ORDER EQUATIONS WITH CONSTANT COEFFICIENTS 1. Equations in two independent variables Mathematics Mathematics, general Mathematik 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)BV040244599 1 https://doi.org/10.1007/978-1-4615-9979-1 Verlag Volltext 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 Mathematics Mathematics, general Mathematik 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 by F. John |
| title_fullStr | Partial Differential Equations by F. John |
| title_full_unstemmed | Partial Differential Equations by F. John |
| title_short | Partial Differential Equations |
| title_sort | partial differential equations |
| topic | Mathematics Mathematics, general Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Partielle Differentialgleichung Konferenzschrift |
| url | https://doi.org/10.1007/978-1-4615-9979-1 |
| volume_link | (DE-604)BV040244599 |
| work_keys_str_mv | AT johnfritz partialdifferentialequations |