Cargando…
Singular and degenerate Cauchy problems /
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrang...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1976.
|
| Colección: | Mathematics in science and engineering ;
v. 127. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- Cover13;
- Singular and Degenerate Cauchy Problems
- Copyright Page
- Contents
- Preface
- Chapter 1. Singular Partial Differential Equations of EPD Type
- 1.1. Examples
- 1.2. Mean values in Rn
- 1.3. The Fourier method
- 1.4. Connection formulas and properties of solutions for EPD equations in D' and S'
- 1.5. Spectral techniques and energy methods in Hilbert space
- 1.6. EPD equations in general spaces
- 1.7. Transmutation
- Chapter 2. Canonical Sequences of Singular Cauchy Problems
- 2.1. The rank one situation
- 2.2. Resolvants
- 2.3. Examples with m2945; = 0
- 2.4. Expressions for general resolvants
- 2.5. The Euclidean case plus generalizations
- Chapter 3. Degenerate Equations with Operator Coefficients
- 3.1. Introduction
- 3.2. The Cauchy problem by spectral techniques
- 3.3. Strongly regular equations
- 3.4. Weakly regular equations
- 3.5. Linear degenerate equations
- 3.6. Semilinear degenerate equations
- 3.7. Doubly nonlinear equations
- Chapter 4. Selected Topics
- 4.1. Introduction
- 4.2. Huygens' principle
- 4.3. The generalized radiation problem of Weinstein
- 4.4. Improperly posed problems
- 4.5. Miscellaneous problems
- REFERENCES
- INDEX.