Partial Differential Equations (Paperback)

Preface; 1. Partial differential equations of the first order; 2. Characteristics of equations of the second order; 3. Boundary value and initial value problems; 4. Equations of hyperbolic type; 5. Reimann's method; 6. The equation of wave motions; 7. Marcel Riesz's method; 8. Potential theory in the plane; 9. Subharmonic functions and the problem of Dirichlet; 10. Equations of elliptic type in the plane; 11. Equations of elliptic type in space; 12. The equation of heat; Appendix; Books for further reading; Index.