A Collection of Problems on the Equations of Mathematical Physics by V. S. Vladimirov
Contents of Collection Problems Equations Mathematical Physics
- Chapter 1. Statement of Boundary Value Problems in Mathematieal Physies
- Deriving Equations of Mathematieal Physies
- Classifieation of Seeond-order Equations
- Chapter 2. Funetion Spaees and Integral Equations
- Measurable Funetions The Lebesgue Integral
- Funetion Spaees
- Integral Equations
- Chapter 3. Generalized Funetions
- Test and Generalized Funetions
- Differentiation of Generalized Funetions
- The Direet Produet and Convolution of Generalized Funetions
- The Fourier Transform of Generalized Funetions of Slow Growth
- The Laplaee Transform of Generalized Funetions
- Fundamental Solutions of Linear DifferentialOperators
- Chapter 4. The Cauehy Problem
- The Cauehy Problem for Seeond-order Equations of Hyperbolie Type
- The Cauehy Problem for the Heat Conduction Equation
- The Cauchy Problem for Other Equations and Goursat ‘s Problem
- Chapter 5. Boundary Value Problems for Equations of Elliptie
- The Sturm-Liouville Problem
- Fourier’s Method for Laplaee’s and Poisson’s Equations
- Green ‘s Funetions of the Diriehlet Problem
- The Method of Potentials
- Variation al Methods
- Chapter 6. Mixed Problems
- Fourier’s Method
- Other Methods
- Contents
- Appendix Examples of Solution Techniques for Some Typical Problems
- At Method of Characteristics
- A Fourier’s Method
- A Integral Equations with aDegenerate Kernel
- A Variational Problems