| Description |
xiv, 676 pages : illustrations ; 26 cm |
| Contents |
Machine derived contents note: 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 |
| Analysis |
Physics Differential equations |
| Bibliography |
Includes bibliographical references (pages 665-670) and index |
| Subject |
Differential equations, Partial.
|
|
Mathematical physics.
|
| Author |
Rubinstein, Lev.
|
| LC no. |
91040455 |
| ISBN |
0521410584 (hardback) |
|
