PDF Free Download | 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