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Lectures on the differential equations of mathematical physics : a first course /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Nova Science Publishers,
©2008.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Contents
- Preface
- Introduction
- 1.1. Some Examples of Equations of Mathematical Physics
- 1.2. Classification of Second-Order Partial Differential Equations
- 1.3. Formulation of Problems of Mathematical Physics
- Hyperbolic Partial Differential Equations
- 2.1. The Cauchy Problem for the Equation of the Vibrating String
- 2.2. The Mixed Problem for the Equation of the Vibrating String
- 2.3. The Goursat Problem
- 2.4. The Riemann Method
- 2.5. The Cauchy Problem for the Wave Equation
- 2.6. An Inverse Problem for the WaveEquation
- ""2.7. Inverse Spectral Problems""""2.8. Inverse Scattering on the Line""; ""2.9. The Cauchy Problem for the Korteweg
- De Vries Equation""; ""Parabolic Partial Differential Equations""; ""3.1. The Mixed Problem for the Heat Equation""; ""3.2. The Cauchy Problem for the Heat Equation""; ""Elliptic Partial Differential Equations""; ""4.1. Harmonic Functions and Their Properties""; ""4.2. Dirichlet and Neumann Problems""; ""4.3. The Green�s Function Method""; ""4.4. The Method of Upper and Lower Functions""; ""4.5. The Dirichlet Problem for the Poisson Equation""
- 4.6. The Method of Integral Equations4.7. The Variational Method
- The Cauchy-Kowalevsky Theorem
- Exercises
- 6.1. Classification of Second-Order Partial Differential Equations
- 6.2. Hyperbolic Partial Differential Equations
- 6.3. Parabolic Partial Differential Equations
- 6.4. Elliptic Partial Differential Equations
- 6.5. Answers and Hints
- References
- Index