Partial Differentiation Equations in Classical Mathematical Physics

Partial Differentiation Equations in Classical Mathematical Physics

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  • 製本 Hardcover:ハードカバー版/ページ数 676 p.
  • 言語 ENG
  • 商品コード 9780521410588
  • DDC分類 530.155353

Table of Contents

1. Introduction
2. Typical equations of mathematical physics.
Boundary conditions
3. Cauchy problem for first-order partial
differential equations
4. Classification of second-order partial
differential equations with linear principal
part. Elements of the theory of characteristics
5. Cauchy and mixed problems for the wave
equation in R1. Method of traveling waves
6. Cauchy and Goursat problems for a
second-order linear hyperbolic equation with
two independent variables. Riemann's method
7. Cauchy problem for a 2-dimensional wave
equation
Cauchy problem for the wave equation in R3
9. Basic properties of harmonic functions
10. Green's functions
11. Sequences of harmonic functions
12. Outer boundary-value problems
13. Cauchy problem for heat-conduction equation
14. Maximum principle for parabolic equations
15. Application of Green's formulas
16. Heat potentials
17. Volterra integral equations and their
application to solution of boundary-value
problems in heat-conduction theory
18. Sequences of parabolic functions
19. Fourier method for bounded regions
20. Integral transform method in unbounded
regions
21. Asymptotic expansions
Appendices 1-5.