A Collection of Problems on the Equations of Mathematical Physics

A Collection of Problems on the Equations of Mathematical Physics

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

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