Lectures on partial differential equations /
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Berlin ; New York :
Springer-Verlag,
[2004]
|
| Series: | Universitext.
|
| Subjects: |
Table of Contents:
- The general theory for one first-order equation
- The general theory for one first-order equation (continued)
- Huygen's principle in the theory of wave propagation
- The vibrating string (d'Alembert's method)
- The Fourier method (for the vibrating string)
- The theory of oscillation. The variational principle
- The theory of oscillations. The variational principle (continued)
- Properties of harmonic functions
- The fundamental solution for the Laplacian. Potentials
- The double-layer potential
- Spherical functions. Maxwell's theorem. The removable singularities theorem
- Boundary-value problems for Laplace's equation. Theory of linear equations and systems
- The topological content of Maxwell's theorem on the multifield representation of spherical functions.