Partial differential equations / Fritz John.
Editor: [New York] : [Courant Institute], New York University, 1952-1953Descripción: 211 p. ; 28 cmOtra clasificación: 35Introduction [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 [36] CHAPTER 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 [70] 4. The Cauchy-Kovalevsky theorem [74] CHAPTER III - SECOND ORDER EQUATIONS WITH CONSTANT COEFFICIENTS 1. Equations in two independent variables. Canonical forms [84] 2. The one-dimensional wave equation [88] 3. The wave equation in higher dimensions. Method of spherical means. Mean of descent [97] U. The inhomogeneous wave equation by Duhamel’s principle [106] 5. The potential equation in two dimensions [113] 6. The Dirichlet problem [124] 7. The Green’s function and the fundamental solution [142] 8. Equations related to the potential equation [147] 9. Continuation of harmonic functions [164] 10. The heat equation [167] CHAPTER IV - THE CAUCHY PROBLEM FOR LINEAR HYPERBOLIC EQUATIONS IN GENERAL 1. Riemann’s method of integration [184] 2. Higher order equations in two indopendont variable [194] 3. The method of plane waves [202]
| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode | Course reserves |
|---|---|---|---|---|---|---|---|---|
Libros
|
Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 35 J65 (Browse shelf) | Available | A-1643 |
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 [36] --
CHAPTER 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 [70] --
4. The Cauchy-Kovalevsky theorem [74] --
CHAPTER III - SECOND ORDER EQUATIONS WITH CONSTANT COEFFICIENTS --
1. Equations in two independent variables. Canonical forms [84] --
2. The one-dimensional wave equation [88] --
3. The wave equation in higher dimensions. Method of spherical means. Mean of descent [97] --
U. The inhomogeneous wave equation by Duhamel’s principle [106] --
5. The potential equation in two dimensions [113] --
6. The Dirichlet problem [124] --
7. The Green’s function and the fundamental solution [142] --
8. Equations related to the potential equation [147] --
9. Continuation of harmonic functions [164] --
10. The heat equation [167] --
CHAPTER IV - THE CAUCHY PROBLEM FOR LINEAR HYPERBOLIC EQUATIONS IN GENERAL --
1. Riemann’s method of integration [184] --
2. Higher order equations in two indopendont variable [194] --
3. The method of plane waves [202] --
MR, REVIEW #
Click on an image to view it in the image viewer
There are no comments on this title.